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State Council of Educational Research and Training (SCER1) Poojappura, Thiruvananthapuram - 695 012, Kerala Website ww'scertkeraIa.gov.in e-mail:
[email protected] Phone : 0471 - 2341883, Fax: 0471 - 2341869 Typesetting: Computer Lab, SCERT © Government of Kerala Department of Education 2012
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B Dai oith
ois
J14ecm JthO
li
Jemo o6U,o
101
th(.(130 (WO(fla3OJO,
6ml
B
(10
630
o6n. /AOP = 300, /AOB = 15°
OA, OBn@ cml oie,s cjB x mcaal&jaáoul nocm
oo6ni16x1
6fliCrWo ,6
5
keralapsctips.blogspot.in
(fl)o:
10 micnii
SCERT MATHEMATICES QUESTION POOL
gnu(1)6mu6/w3(6mco)u6
keralapsctips.blogspot.in
WJ36S .siJtk)1
'J.1u.17
AB
omt2o6n.
6nJ1eo6m
D1J26)s S(TT)arJOOYD
(4, 5) go (12, 10) go. B k8
(8, 5)
GnhlcuoGn
A
39(S16)J Ø6Tr
S12J6s saiom 6)osoJ(o)16)J
s5Ii mogool 6nJ1a3
o6me,.
4 no : 7 aIkn1 ffl J6S .KiflQr
gilaaThofO/W3ta6meUO :
Q.1O.18 A (2,4); B(8, 4); C(10, 12); D(4, 12) Doi cooO aml s1
eo@o6M.
ABCD
nonoe1
J,6)S ff\fl)06J,&CI8
CJZLJ1()o J(D.J
ooao
CT)ø1O,o (6)61fl(1T)
S uo : 9 au1cn1 mr
t.i n
6/w96mo,U6 flJ(W)36S (WM)J3thJo
ip s
.
J(di
D QJ(OcD516)J MORO(Oa 6fla3C1fl6)Q
ct
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3O(fl OJ(6)S
)L? (fl)o6)J &06T1
la
6)S
O,S
r,)Cm1 6oe6)1J6)s
ps
(5, 2); (8, 6)
.b
lo
gs
po
Q.1O.19
ke
ra
(.
4 nio : 8 ialmli
cwuwwnu/w3(a6mo,uO : flJ036)S flU!M)J3ftJo
Q.1O.20 3x - 6y + 10 = 0
m dJ$16J
2Jo (6T1
QD CJ(D)6)S J(1C)I
flC13O6)6)S
fl)o6)jth6
O&6)th.
3 cruao : 6 aflcn1 OMW)36S Afabr
Q.1O.21 4x + 2y — 9 = 0
agym oiøss S(m ,JO&,Cfl)
i1d
1oi
aco oi (4, 7)
J1(8 (J()6)5 O2JOøo
yn
ath? 5 (Tt)o : 10 m1n1
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL anuô/wa(a6mLou6
: OJ(ôffi)36)S
keralapsctips.blogspot.in
I1
iiMalor
Q.1O.22
AR cm
øn
AR n)(m mocogos
p' C. 2
't oJ(coS16)2J
ko8
J(1d1 )CIth?
o(o
ø1i
A(O, 2); B(2, 4)
nfle6o61
flafln
tUo6thO
36)()0( 6fl(T3fl6)(1
Y'm
o y Cflfl)o)J I
S(J3
006
cn$11e6o 0O)(fl
5 (9unu6/w3(6mcocf6
:
10 m1ml i
fl))o
16S flU013thJo
Q.1O.23
(2, 5); (3, 7) c)cm1
6flflCI3e6)O8
c)
e6)(m OJøc6)S tiJ(1C)i n)L)?
(x y) n)C1T)
naioJoeo
gyn o
6flik13C)i0 gplJ OJ(OaVW
oi,,1a8 (x + 1, y + 2) n)(m
po
t.i n
(0()fl1e6)th.
9 m1n1
JI(w6S flUOJOiOJo
ip s
: )
.b
lo
gs
4
ct
tBIno/u)al6mo,uO
'fl C)J(b6)S
x-3y+7=0ri)(m P 1
6)S (fl CTh)6)S
ke
ra
la
ps
Q.10.24 OJøo
3x+2y-9=0
mmQwaoF)cm
P cD51J6)S
Q0o61JO,U 1J3tho
)cm
6mlo3joilM
oø,cmo
njø1d
I (TC.th3(
keralapsctips.blogspot.in
5
(fl)QlcWo:
10 ialml l
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
cT3CJ.OcXDc, 11
1JWJkUI ai1arwjo
T3u6/Wo(o6mcth(rô
mnnco)1m'
Q.11.1 10-Do t OC
NIMB nJo16Cfl)
40
6S (OQo
(D)øo
()1a1.
a,cx)o6n
.JoJ6s 6osm)1ct1e6)cTD6. (96)o
(,l.L(IDQ)
th1th6)S
-
30-35
3
35-40
8.
40-45
12
45-50
)6Jço
9
-
6
55-60
2
po
t.i n
50-55
lo
gs
DWO) (&6)o c)(flB)O6m.
TOaic)o
6 c1cn1
ip s
.b
4
1niWi1WO mmwJo6rruBw3anw1af
la
ps
ct
wô/womouô
(D)1ø1.
ke
flOJo6DJ(
ra
Q.11.2
E2O(flX)1(O3 aanoo18 193D)D6fl)
O)S
ij
om1jxs
o0o
().
mo jml pj (°C) ~
(Y)onm1J(M)6)S
0-5
2
5-10
3
10-15
7
15-20
10
20-25
6
25-30
2
DWo O,O61fl&.
4
keralapsctips.blogspot.in
TUo :
6 D1(D1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
til Ho Ii
iiwJkaô mimi'
e36m3nnm'1nY
Q.11.3 63( m316)J 10-Do
co1
tocWIM ,i
e,1e,6s
)(Oo r)6flo
(0)1(01
cJ&
JOJ6s
xo
(6Tu.fl.)
rij)6o j
135-140
3
140-145
5
145-150
14
150-155
12
155-160
6
160-165
2
(63136)S MWIMO &,06m0,.
S m11thmflwO (rIrrrwJo
1W36moUô
6utu1w3cmaJflai'
po
(3CJ6)(1) 100
0CTD6)ø) 6
0(816X1
gs
So6)J6I36)S 63(
1e(D)06n
lo
63(0
:S
t.i n
Q.11.4
(fl)Do
I
ps
ct
ip s
.b
oJ(J6)S 6)th0S?5h6)Cfl)(th.
((J?J1()
sns
ke
ra
la
6lE31 ,J3c
50-150
no
4
150-250
5
250-350
7
350-450
18
450-550
32
550-650
G
1.oJO(
650-750
8
750-850
4
850-950
2
1 6i
aW,rzo
5 no
keralapsctips.blogspot.in
8ai1n1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
H_o
(urpaammod/wo(a6ma(C (BIQjWIUi1 OJhOWJ1WO fflIffl)o aWJ!o ammmm3andlaf
Q.11.5 m116m1cnocx51
1
336n&c6
ou1c
1e,u
9UEB1cQ(Yo6fl J ,OJ6)S 63sb1e6)m)(d.
anoi (WI LAWWA 0-45
1
45-90
3
90-135
10
135-180
12
180-225
11
225-270
8
270-315
3
315-360
2
t.i n
fl)6)3O6)th.
5
8 n1
.b
lo
aWJo amnaandlar
ip s
aiTuaw&H3uô/W36mO,UO
flflo
gs
po
JO6)S MWIMO
191(3
S18
ra
la
016x 63COa Jb OOA')
ke
ps
ct
Q.11.6
1O,6S
1O , 000
flC110 iOJ6)9
OS166)(m.
(% @ 6WO
5
1
6
3
7
10
8
12
9
9
10
5
0016X t713W,o
3
keralapsctips.blogspot.in
(fl)1ID)o
: 4 D1(fl1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
f3WJo dhom3a
I I
Q.i1.7 25
e1c8 c0J(M.e6)1fl
iSk)
425
6
400
16
I I
450 325
2
475
1
500 300 OWo
0l
3O10S 06OJo
6flJkD)o
331,6)S
2
I_1 ITh66)O6)ø,
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
3 nii
keralapsctips.blogspot.in
3
SCERT MATHEMATICES QUESTION POOL
••.tt
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
cc)a insd ke
(•
keralapsctips.blogspot.in
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1. 1.1 oaoo
o66S
aLumml 60 0, 900
,
180, 360, 540. s
os
OLU06rTfl
oiioflo = 180
a
900=180x5
c6n6
1
(n6m
1
.. .
oocno 180 61
900
Total4 12
eoømo
ium1 a1rno&
OL mJO(J cnfl61
1Je6
3ST)
90i1c
cnfl6)c a10
3
t.i n
c*mo
3OJ)OCfl)o 6ø
flh1E1
gs
1
m10
= 17
lo
iBo
D CPaO(tb
ct
85
ps
cnilci
cthmJl6l (fl10
1
m10 = 5
ke
ra
biml
xD6
la
17
OX)
ip s
.b
15-oo
Di96)CrD.
m1Ofl
po
I6fl)16)S
c)6po 6301' 0JA)1
- 14d
=
= 85-14x5 1
= 15 = 15+85 = 100 aa)jj,ffi&6)S 06)e) cfl10
=
15
X100
= 750 6)Cfl).21
1...
keralapsctips.blogspot.in
. .
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
13 /7
-Do J(3o,
--
x = dn -i-(f— a)
1
= 6n+(184--6) = 190-6,, n - 00
J(3o
=0
1
Cj0(8,
190-6n = 0
1
190
n = -- = 31.3 31
Lni118
mwlauo6up
3i3
c?oJO oiu1cx
I
= X32
= 190-6x32 =2
1 lbtalS
po
t.i n
1.4
lo
1
.b
6m
ra
= dii +(,f- a)
or
&ruoij =
ke
x
la
ps
ct
ip s
0(OJ,(0(rOo
gs
Lc/m1: 8, 14, 20, 26.....
= 6n+8-6 = 6n + 2
ii
xn=6n+2 (6
636n
(n&uil 2
6n+2 = 250 248
n = -i-, Lø 250 tom1
oa)68
cLuo6aflaloei
: 8, 20,32, 44, 14, 26, 38, 50, 6, 6, 6, 6,
20
636S
oe,e,q8
M)MMIPJIM
culmSocruo = 20 x 6 =120
2 ThtaIS
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
15 /1-Do (,Jro
no8
8n + 3
1e6)mJ3u8
36)
otflso 3 1 100 mlo 550
s51
ao
1U6i$I6)2J
CT(nJ(3o
= 107
1
cTboJcrooamj(3o
= 547
I
= 56
1
36I36)S g)6To
1bta1 4 1.6 L(Jb6rr$1
momo ocroaolleilo ojcrc oj1m,
9.8x1- 4.9=4.9
n=2,
9.8 x 2 - 4.9 = 14.7
17=3,
9.8 x 3 - 4.9 = 24.5 1
po
4.9, 14.7, 24.5,
gs
cLuo6ml
t.i n
n=l,
ip s
.b
lo
9.8n -4.9 = 63.7 68.6 9.8
ct
1
ra
la
ps
12 =
ke
Total 2
1.7 (a)
3oto
1
7
175 =7 x 25 7 M(MIMO(d (06T1
175
6)CI (fl6rr
rUo 175
363T3(JS
(tho.
1.8
(a)
sb6fli1
10
: 10, 12, 14, 16, ...
o n1acne6,OU OJfl) n)Q3
I
M5
)oOO @RD
'lbtal2
3Q)CtU6fl)l
ajeJlcw rO MCD§ JjC36MOJ(8U) 1 6m3o DIJ (MO(1Da(9696)J X3113LBOM3161,0010. 'i)16J
306fl. (mb()1(T)3(o8
10
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL m1xD16)J
keralapsctips.blogspot.in --
nmcs8 : 16,36, 64, .100, ...
(b)
1 1mo3
PDT
•om1 63(01
ffUMD=(OGLCfO6TTfl (t
1
lbtal3 1.9 L('6m1
(T)10
(31bST)
Ø9'9
OJ0O6)1X1)0(8
1
ciJ(36B(/S
1
Thtal2
acjn11:
dn+(f— a
X,
7n-6.
• .
• = 6n+15
i,,
3QO6fl
.
t.i n
0(QJ0D)
1 1
po
ii -oo n.J6o
•.
.6n+15
gs
7n-6
15+6
ct
ip s
7n-6n =
lo
•
1
.b
c1(m6Tn12:
•.
ra
0(C)J0
306fl
•
.
ke
21-00 nJ(30
la
ps
n=21
6)nJ0aDOJ3c) J(3o
.-
1
-
= 7x216or 6x21+15 = 147-6
- 126+15
= 141
141
1
Totals
0cj3c
w- uS
occm6m1e,(,8
(30:2,12,22,..., ;3,13,23,... obthommc,8 a, b ci
1 m6ng a ocmø
keralapsctips.blogspot.in
an + c bn + d
SCERT MATHEMATICES QUESTION POOL QJOfl
i18
mir3o
keralapsctips.blogspot.in
an 1-
c = bn
1
4
c = d wvvomS ab=boWça. c*drno8 an+c=bn+d •
•an-bn=d-c"
n(a-
c
b) =
d-c a-b
1 3O
6)nJO(OJ3c$1 6(D. rJ(3O OL()
n.65.63(q oj1j.,
lbtal4 1.12 3n636S cic 0 m1
5, 10, 15,20,
I
...
1
oj,aomo 5 mr6w aoaø ioi1cn.
th
c,06m16)o) Cruo(.cT3() 6)&,06T1' (O6Tfll 3(8 1300 6I3
13 6)S
3rJ
1
.&o
1
t.i n
: 13.5, 27, 40.5, 54, ..
po
@0(o6Tfl36)S aLumml
gs
oxmo 13.5
um1W06fl.
-
lbtal4
ct
ip s
.b
lo
I
1
Dn (.
1
ra
ObcBl(R6r01 ng)w0CTD
ke
ojooaoo 4
la
ps
1.13
2 %Igl
3
aLummimflopi
mogo(olL(b6m1 4)w0)
1
o)16x1
00
0mo
ni1s
De
12
ce,omm. 61 mjm5 0S6I309- 5
4
00
1
ocoa1ui1cDs x, = an + b.
k 6)th06fl cn6m1 r kr+r=k(an+b)j4-r
1
.kaii+kbj4P ka
0)J\0)0T1)00) O23(T)(bF1Ub6
-
+ P 06)00
oow6m1cD)36T.
I
keralapsctips.blogspot.in
c6)s
fl-Oo
nJB006fl.
1 TotalS
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1.14 6ø
ouni1
a
1, 4, 7, 10, ... mo3m31J
1 n3u g)wmm.
Q6X)O(D
1
a, b, c, ...
o1o6nul (Ta))308
1
b-a =c-b x = (b— a)d XXb
=(c-b)d
1
XbX XXb X X11 X,,
...
63Ø
1
Totals 1.15 (a)
-x8 = 7d
7d = 102- 53=49
1
po
= x15 + lOd
.b
lo
X25
1
gs
(b)
t.i n
d=7
ct
ip s
= 102+10x7
1
ke
ra
la
ps
= 172
Total 3
1.16 (a) x+ 4, 3x- 2, 4x- 2,...
(3x- 2) - (x+ 4) = (4x- 2) - (3x - 2)
1
3x-2—x-4 = 4x-2-3x+2 2x-6 = x
1 c(/O6ffl1
10, 16, 22
.....
x,,=d+f-d =6n+4 (n- 5)-oo
1 m1cmo (n+ 5)-oo njBtw1aJe65 10
(TJo
1
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL ..
keralapsctips.blogspot.in OJ(0)3(U)o
(n— 5)-oo nirmijo (n+ 5)-co n irmijo
= lOd
10x6 =60
1 'ibtalS
1.i7 LU061T1 :
4 , 11 14 17
1 1
Lu06fl$16)S a -30 ni(30,
=a+f—d = .n+
41
+5
3n + 5
6)o (fl6m1). (nbcth
cme.
rJ2(B6mm)o6u.
6
(th 6
w6pømx$1c
t.i n
3 6)c%
gs
m38
Mcmd5
po
3n + 5
2
ip s
.b
lo
lbtal4
2
la
:8,16, 24, 32,
ra
a =1,2,3, ... e1cm atpu
ps
ct
1.18
ke
xn = gn
8n
144
ii
144 8 18
1
1 ibtal4
1.19 (a)
aLub6n1c6)s
fl
-30
= 13
3
= —n+-4-----
4 4 4 3n + 8
-
4!
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
tIHH11
n= 4, 8, 12, 16,
m1m,ci,
so8 34+8 4 =5
=
3x8+8
•
=8
= 312+8 -12
=
=
11
3 11 3 = -n+----4 4 4 .
3n+8 4 5, 8, 11, 14,
cJ1(86Tfl(TUo6)i,3 J(36m36)s aLm6rrfl
: 4, 8, 12, 16, 3
J,)Omo =
6)-jo(mjojj(wjo(mo
=4
oy,,oc1-uo =
ip s
Lo?rn1cD6)s
3
1
ps
ct
n1?$1e6)a-o
.b
lo
gs
no amayAwaos
1
t.i n
(?3T(3, , 1O6TTfl(D).6)S 6)cJ3
-
po
mom6136,s cLuo6ffq
1
ke
ra
la
Total S
120
x5:x8
1:7
i
3d
6k
d
2k
x6 x15 x6 :x15
= 10, x22
1
x-1-d=k+2k =3k x5 -i-10d=k+20k =21k 3k: 21k= 1:7
1
1:7
1
7x 10= 70
I
Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
121 0es r)6o
1 mywd 14
6D)0E)th0S c)6To
=
(e)o6m 2
(fl)o6)ith6)S
14x 15 2
1
=105
Total 3 122 63 9cn)o6Uo aLumryll
1, 3, 5, 7, =
1+2n- =2n
x+x =
(+ x) =
=
n
1
2n-1
x2
~ =rp
1 n2 +n
1
(n
a)o6)Je,6)S
-
1)
=
8o6u6S
t.i n
fl
2
2
=
1
(n-1)(n-1+1) 2
=
lo
gs
po
1 Q$)(Z
n2-n
ip s
.b
-
2
2
1
la
ps
ct
-
ke
ra
2
fl+fl
__= 2
fl 2
fl
2
1 TotalS
123 n
-00
J (30YMIM
u1
o
1
7, 11, 15, 19,
m1cmo OLCM 6TO
im1s15
=
o,om'5.
1
4 x 1 ~ +3=63a1ç (x1 +x,,)
=
15
x1 ~ x15)
=
15
=
5251
7+63) 1 Total3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
124 iirn1 : 1, 3, 5, 7,
90-
10-0o
o6u,
= 2 x 10— 1 = 19
x1 +x10 = 1+19=20 10
10
= 20-o
x20= 100
= 2x20— 1=39 x1 +x2o = 1+39=40
20 10
6TTOQ6)(IU)
x 40=400
1
= 400 - 100 = 300
10 m)o
(T(36)(m)
20
=
6n6s
smxo
1
stz 10
me,o
= 300 — 100 = 200
omo
1
1bta1 5
ics1a
1
g)68
ct ps
n(n + 1) 2
1
1, 2, 4, 7,
ke
ra
6 JlW61)1($)Ø2cJo =
o&s O6mcrT e,omm.1
ip s
.b
...
la
1, 3, 6, 10,
lo
gs
1e,,8
po
ms2myw øm
t.i n
125
(— 1)
...
6
8mo6ia6s (
J36T.
96)O(f
1 1
6flJ1UGflfl()(Jo
n2 —n+2 = 2
2
1
llbtaIS 126 ini1 1 : 8, 14, 20, 26
4, 10, 16, 22,
aLcim1
2
WHO
noxsm
15
.....
roa
ts) eu3
1
...
i,cxruo 4 maj6TI5 ii3Cflo
1
= 15 x 4 =60
1
Thtal3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
127 xI
=f = dn+ -d
x+x, =f+dn+f—drdn+21—d
1 1
= (x x)
= (dn+2f—a) d
= 3LTk6)S
(1(Z8 a 1(
d 1(f__)fl
fl2
3l
S)3) fl
6)S
1 )O) 6(ID6T1fl() C)J3J
1cno8 3n2 + 2n + 1 (ø, (mci11
)oQJOrU(3o
1
Thtal 4
1
.b
lo
gs
po
-
4, 12, 20, 28,
aLuo6nil
t.i n
128
=
(
+
=(+8n-4)
1
= 4n=(2n)2
1
ke
ra
la
ps
ct
ip s
ii
'Ibtal 3 129 60000
019(3 a
I
1000, 1250, 1500, .1
OØ6)C)J3O
ocILm1flJo66mcrT
1
16-oo&uo=1000+250X15 = 16 a1ç(8
%a%q&Qjfflo(d
ei1 =
(1000 + 4750) DUO ioi
8-oo (lli(36)G5fl)
8 ø1
nit30
= 1000 + 250 x 7 = 6)C)JO(
e,2J1 =
1
50 øi (1.000+ 2750) 000
keralapsctips.blogspot.in
(bnJ
1
SCERT MATHEMATICES QUESTION POOL oaxy 8 019
OJD(13
keralapsctips.blogspot.in
efl = 46000 - 15000 = 310O010j
(TbU)10
...
.
31000 J500O = 16000
1
Øc
TotalS 130 1+2+3...+20= 20x21 =210 2 n-oo
•JBo
•'4n ± 3'
1
oLcIm1s
20
T36)s
= 4(1+2+3+...+20)+3+3±3.±3
2
20
= 4x210+3x20 900.
.
.
1
.
Total4
Jr3o
l5n1s 15
ø)6,
1
ip s
.b
lo
gs
=
po
8-oo
t.i n
131
495 -j--=33
I
ke
ra
la
ps
ct
x8=
d - ;-x5 3
63CMDo J(3o, x1 = x8 fl-Ooi3o,x
-
33-21 3
1
7d=33-7 x4=5
= dn+f-d=4n-i-1 =
.
-
1
( -i-x)
(5+4n±1) = 2n2 ±3n
1 Total S
132
(36Xm0 ,Z
2n
63136)$ O)O = /j2 +
f-
(
)n
-(2n) + (f— - )2n
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL •
•
keralapsctips.blogspot.in
• .,
•;
.
•.:'
2d1+(f-
3636)S.
(1bSCm) 17
36)() 17 nJ(36m3C/&6 auangio
1
)2n
•. ;.
(,,
)n]
d
3d1
=
2
36fl36S
cartr3lomm flcJ(366S (tho cmsym 17
d
3j.
=
d
n2
1
fl2
ThtalS
-. .
.
(5-Qo niBo)
=
.
.-
1
7x180
1
= 140
ct
136)Sfl)o (m6momomroi aaomt140 0
ps
n)eO
ip s
.b
aWnJ(3o
180
t.i n
=7 x
(a)
•
po
.•
gs
•
lo
133
(Tb(D ,nJO
Gflb(T)o ()J
ke
ra
la
1
TI6)O
= 16. x5 =14Q d 9-00
-
60
1
= 40+4x6=1640
1
4?L.
(RaOMB,9x =
x5 + 4d
- _.
keralapsctips.blogspot.in
'lbtaIS
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
M. H•° Ii
134 (O.125)_24
=J 1( 10 8 (
1
=272 2 2 + 6 * 10 *.*
1
= 272
2, 6, 10, n
= 2n2
1
2n2 =72 n=6 2,6, 10,
6s
1
6-oo JBo = 2+5 x4 x=22
1 ThtaI4
t.i n
135 20
gs
po
= 1300
.b
lo
1300 = -j--- =l3O
1
ps
ct
ip s
+x
ra
la
x1 +x1 +19d= 130
ke
2x1 --19d= 130 2x1 = 130-19x6=16 x1 =8
QU6m1
1
8, 14, 20, 26,
1 x
= dn+f-d =6n+2
,i
636)S
(e, = . [
=
1 + x,,]
[8+6n-i-2]
= 3n2 +5n lbtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
136 33Cruo OSiThjBo
1
= 145 - 150 = 5
1
= 140 + 5 = 135
I
0
cn16)J airmo6r6
Total 3 137 1
a,n1 3, 6, 9,...
21-oo
Jr3o
=3
1
= 3 + (20 x 3) = 63
1
Total 3 138 6X
1-006oT
10
6X'I
10-36)() (O6fli1()o
nJ(36T36)S
(e, =
= 10 = 100 to
1
(10 + 100)
=
550
lo
5x110
.b
=
gs
po
10
(O6flh)o
t.i n
10
ps
ct
ip s
1
ra
la
Total 2
ke
139 cBt(IbGnil:1,1,1
......
= 2n2+ 1
2
Total3 IIEDC 3 + 6 + 9 + ... + 300 = 31+2+3+ ... -i- 100) =
1
3x5050
=1
1
Thtal2
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
2. C16313C1
2.1 LD=90°
1
ACoocro2oco)1 cmcm
mzs1i
6301 6Oa3lo-106r6
D. B ojjmmmTaflc6
1 1
OcQ)1ø16)o
LA+LC=160° A.BCD ..B o116J 6aa3goig.
)16x
tnoi iz1a8 62s1 ascma 1
nJO&(m QJ1Bo OJ(ø6)OC1 ecQ$1
ibtal 3 22 Man
miou B,D
t.i n
AC ocrooco1 oJo oj
omoc08
po
oim1ci
m18
gs
ABCD
1
ip s
.b
lo
LB<90°,ZD<90°
1
ps
ct
LB+LD< 1800
1
ke
ra
la
ABCD
Ibtal 3
23 ZD=360-300=60° LA = 800, LC= 100°,
i1mo8
0e6i8 es1
BD
0nao1 oiøcm oJmzso cjoj
3ce1.
LA+LC=180°
k1o.
A,C
ym1
2 1
&o ABCD
1ao6n
T$)16x (T)Oi
cJ1
131a8
ø,s1
scma ocøm C)Jøo J60.
1
Ibtal 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in . c'•
1
24 •
ZOCA=40°
-:
LAOC= 100°
1
LABC= 500
1.
LOAB= 20°
I
ZABC= 50°, LBAC= 60° , LACB= 70°
1 Thtal 4
25
T))oJ1, aoae, 1
C
LOCA =y,LOBA =z
lo
X,
cms
ip s
.b
ZOBC=
gs
po
t.i n
B
ps la ke
ra
ZBAC= 90— x
ct
LOBC= 180— 2x
y + z = 90—x = 90°,x+z ZABC + LOCA =
iy= 900
90°
I
Ibtal 3 aoe 2
C
cu,omo AD
I
BD cuoufl, LABC+LOCA
=
+ZOAC • LDBC
keralapsctips.blogspot.in
I
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
Cf6)JC
=LABD 90'
1
Thtal3 A
2.6
p
Al
-.-----
12
A,
ci
m1o1
)cm
cJom)øox1fl
1
BC
=
gs
=
LA'
lo
LA
po
th36TrO1m3(U8
QI?
ps
ct
63cm OJ(?3rB6)J6YTtU()16)2J
A'B
t.i n
1J2@s
.b
6n1kI3o.fl6xn
ip s
A cm
ra
la
LA' =LF
ke
LA'BC
=
AA'CB
L/'RQ AFQR
1
A'B=PR A'B
=
A'B
=
1
52 +122 13
1
lbtal4 2.7 QC= 15 6)Cfl1; PQ 9 6xn.a1; PC= J152 92 = 12 6Xfl)a1 J'C= 12 6m.ø1; BC= 13 6)Cfl).1; FB
Jl32 _l22
5
6XYO.1
1 1 1
PA x PB = PCP R4 x5 = 122=144
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
144
PA = -- = 28.8 m1
I
AB=PA +PB=28.8+5=33.86xro.a1 OB
= 3.38
+ 16.9 xm.1
OQ = OB - QB = 16.9 - 14 = 2.9 cru.1
1 Total 5
2.8 .JOnJo
ABC ccis c1
, 36n8 = 360— 110 =i25
1
ZABC=x1OO=55°
1
LADC=x25O=125°
1
.LOA.R + LOCB = LOBA + LOBC
= LABC 1 Total 4
.b
lo
gs
po
t.i n
=550
ke
ra
la
ps
ct
ip s
2.9
600 atho6n
mc)1a5
150° oawd 75 ° ceon
1 2
n1ci
1 Total4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
I }1
2.10 1
m$18 900
cJo uO1sioT$16ci
45°
45° c&,ory C/bl(co OaLcsmosol Oi0 T)o OJ(
U1rSJOk$Z
1
22
ae,o6n3
22
ce,o6ni6)c (JtlC8ro
1
cT331
11
QJm)o OJ(Z
6fl8
1 Total 4
2.11 mio
4.5 xru.a1. 36fl8
1
CJio
60°, 1400 goo
jj n1 @ouThocrn
.joR16X (TLil13OXI3 awoml44 1()ltho6mo m11e6)cm
1 1 Total 4
lo
gs
po
t.i n
m(1th
Cfl10
1
ct
la
ps
ZADB = 50 0, ZACB = 500
ip s
.b
2.12
1
ke
ra
LBCD = 105° LBAD = 750
1
ZACD=55° LABD=55° LABC = 85°
1
LADC = 950
1 Total 4
2.13 .o.JOrjJO JOIo
ABC caloej
O6m&,O6fl
LABCI LADC
BAD
omo€n
ZBAD, LBC'D
Note:BC AD c)Cfl$1CJ M8 6u6m.D1J38 LAMB =LCMD LBMD = LAMC Total 2
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in V
V
V••
2.14 (a) xaLceAcm jmy3e2mmm16)q§
180° thi;
b) L(w1c,%o6mmmleco 63ml 6moojccffio6mgdj
(c)
1
mim
ZAJVC> LPDC
2
•' V
Ibtal 4 2.15
V
V
38o
V
(fiCfl)QJ
V•V V
V
• .iøo, •
-
V
2
• maio&mj
2 2.16 V,
•VV
(a) LB=11O°,LD=85°
1
V V
•V
LB+LD=195°>180° V
V
LA+LC165°<180°
....
I
1
V.
..V
V.VV...: :.V.
ip s
.b
lo
VV
V
V V
po
LA=75°,LC=90°
gs
b)
V V•
Ua,1a
t.i n
D
C oJ(mts)cmts)1n
ct
OCm)$1øi66)o
1
V
la
ps
V
ra
1
ke
2.17 flxr1c8 .PQ
V
V V
APQD, PBCQ
V
6fl3O6
OJ rJL&,1t!D
LA=11O° LJ'QD=80°,ZFQC=100° LB=80°
1
LD= 800, LAPQ= 100°, LB/'Q= 80°, ZC= 100 0
1
V
LA+ZC=100+100=200°
ABCD
i1
V . ..
a
V ..._q'
V.
keralapsctips.blogspot.in
In..
1.
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
2.18 flir1coZ PQ
a)O16th.
o A/lCD
1
LA=yo8 LPQD=180—x
1
LD=ycDoc8 LAPQ=180—y LJ'QC=x o
PQCB jLe,1o611. LB= 180— x
1
A/lCD LD+LB= 180
1
y+l8O—x= 180 0 y=x
1 Totals
t.i n
2.19
gs
po
oioe.
PQ, RS
ip s
.b
lo
s8o AFQD, PJi'SQ, R5CS m1oi
la
1
ke
ra
LPQS=x
ps
ct
LA=x, LPQD=180—x
LPJ?S = 180—x LBRS=x LBCS= 180—x
LA +LC= x-i-180—x =180
Y
1
A/lCD
Total 4 220 JOnJo
APB
6)S
=
3600
=60°
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
.oJ3Jo APR, u61sio)1c8 m366m
= 300
06TT
1
LAPB = 180= 150°
1
lIbtal 3 221 OB LAOB=60°
1
UOIngs-nionimmImS D
jsflo
m 6r1J1a3
ZADB=30°
1
LAPB = 150°
1
'lbtal3
(a)
po
t.i n
222 en3
lo
gs
,on8
1
ip s
.b
C Ot16)i 6flJ1(T3 (Tio. LD = 110°>900 D
la
ps
ct
r1tDoo
LE= 70° <90° E ajymm mmIcv5 rjoo&,o
ke
ra
1
(b) ZC+LE=90+70= 160 # 180° Co E cno sam u16J Erfl(T3e6)
1
(c) ZD+ LE= 110 + 70 = 180° D mfleips oJc&cm o
1 mzTh6 E
(Te,o
1
Thtal S 223 CIV
= 30° LCAD =15°
J3nJO AXB
Q)6)S
3thO6fl8
=1100
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
LACB =550 LCR4=55-15
= 400
.
LACP =125°
1
'J.btal4 224 AC
.
je6ø
AD =AB D"= CB
BC
.
..
LD=LB
.
1
.
LD +L.8 =180° ..........
....
ZP = LB . = 90°
1
..
.
,jj
I
t.i n
AC=,1102 +62
gs
=
lo
..J
6)CTD.Q1
ip s
.b
CT(bo
po
...
...
.
..•
ct
ps
Total 5
ra
la
.
ke
-.
1
6Xfl).11
J@01= 347r
1Z16)1
225 .jOJo
JOnJO
ADC uJos
=6 x 18 = 108 n1.
.oiOJo
Jonio
J?SQ 61 RSQ
.
== @owaon -
108
1 1
= 36°
aoe.o6n
61
RSQ 61
@3($Q0611.
0116X
T)16)Q
CD10 O
C1Jt)16)n iojo
1
oorr& = 60°
ADC
X
1 = 10.8 10
6Xfl).th.
1
1
Total5
keralapsctips.blogspot.in
n SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
2.26 LPAC= LPDB LPCA = ZPBD
1
coone,ci
oxz1mo6
tPAC— APDB
1
() PA_PC_AC
PD - PB BD
1
(d) PAxPB=PCxPD
1
Thtal 4 227 63am oilmm6u6nwomloei c,o6me,c,8
1
L()lO8162J a.%o6rnp3cuj.%U8
iao
ioc8 c.c10i6es
is cn.'aon @oJ6fl
c1wm3 1
Joo
(D16)o
5l
t.i n
1
gs
po
'lbtal3
1no8 PlY = PA x PB =9x4 = 36
1
ke
ra
la
ps
ct
PC= PD
ip s
.b
lo
2.28
PD
CD = 12 €xroajl.
1
PMx PN= PA x PB
1
3 x PN =9 x .4 PN = 12 MN = 15 ecm.ml.
1 Ibtal 4
229 PQ = 20 AP:AQ= 3:21 AP = 20x
AQ = 8
2
= 12 ecmal.
4i.
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in 8:3
AS:AR=
AS= 8xtoc8AR=3x ARxAS = APxAQ 3xx8x=
1
12x8
24i= 96 x2
= 4 1
x=2 AR
= 3x = 6 xn1.
AS = 8x =
16
= 22 xn1.
RS
1
'flthJ4 230
PA = 4
t.i n
PB= 4-i-5=9xn1.
gs
po
PC = 3
1
PD
4x9
= -
= 12 cn1.
ke
ra
la
ps
ct
ip s
.b
lo
PCxPD = PAxPB
CD = PD—PC=9m1.
1
lbtal2 231
1
19
r calcoomB PA = r AR = 2 PAxPB= 9x126)cro..
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in 36
..r= 6
I
Thtal 3 2.32
AB, CD noy ml amwmaeuB - oilmimmic6)
P S1c8 u14ocZ
PAx/'B= PCxPD
1
PA=PC..PB= PD
1
PA+PB= PC+CD AB=CD AB, CD gmiki
m1@mjg@ mo6m8
(T,c)1cnoc8, n
18 m1cmo
1 1 me,J6n3u8
3l6o
Total 4
t.i n la
ps
ct
ip s
.b
lo
gs
po
No
ra
2
ke
233
A
A cS1m oilmmmmipips ci,11 BA' LA = LA ABe6$iornoCD= hai &4'CB: h a he =
AA1 b 2R abc
Iab hc = 4R EABC D)6)S
=
1
1
1
abc 4R
Total 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
[UH
2.34
I
6 •
6xro.1.
ojuoo oim
1
Lc)1,o6mo C)J(O&6)(TD
oo
rn rn1o'
6)C
ø$Ti6i 63(0
3
m11
1
cma
Totals 235 (fl)Q
J
a?RT)1CI5
C1J(6)(T1).
J(o
D16)C
Cfl10 (fi
5
-
TotalS 2.36 floj
ABC ajos mo
JoJo
a3&O6fl=
360-60 = 300°
1
x-x ±260 = 3600 x= 50°
(13cthO6TI
50°
=
360-50=310°
1_ -
•
1
gs
aoJclGi
=
t.i n
&,LQO1
po
.oJQJO BCD Qm2os
.b
lo
x+8x= 360
ao6n
40°
=
40°
1
=
360 —40 = 320°
1
ke
ra
la
CDE ns
joJo
ps
ct
ip s
x =
eon3
TotalS 237 oJ
som ci
16i
1)O6fl
L3thO61Dl6)O
96fl
Jwr16pj cthO1flØ(J5 (
uoJ oJo16J
16i c&O6YT
c&,on,cs
oJOJo
1 1
c&O6fl m306rT
1
Total4 238 R4xP.B
= PC
4x2
= PC
FC=
J8
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in =
i m qpdi
t6)fl
1
1=8
A mflma cn1mo 5 6xn1. mej Q gm •nfl
ThS3S)&
nikmo AB dc96 ejo6mmow 6ni1( T 0Jo
OJCD (flZ(&11)
jeJ
Q ojo
..j
6)m).Q.
Q QJløZ
u1c8 16)o.
'lbtal 2
239 LA, LC
OJ (mbm263T3cs
LCcns
(1TbdI
300
1
1DO(ö
1
ThtaI 2 2.40 3DS1
.-flLo
om1a
LD,Jawo(')I-,3j W ni
2
3jOio
3
Thtal S
t.i n
2.41
= CF
gs
= CF
ip s
.b
lo
4x2
1
po
CBxCD
la
ps
ct
CF
ke
ra
CAxCD 8x2 CQ
1
= = CQ = CQ = 4
VP =
1
4- 'IIi
1 'lbtal 4
242
xj QSO61(1) (Z2j
LQ3(t1V)1(6 6)0U.3(8 j:
1
=
1 0116)C
j
QS6$k1) 029J
fl6rn
@OU)o
L(T3()1(8
1 j0c8
=
•
I
TOtal 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
h
2.43 1
IbLc)1a.eo6mo O6)(TD()1Cfl
2
ma
4
()16X1 OJ1()1.
a)1XDO6fl)
c)J1as1 =
ioJ
= 5 r3 6)(fl)1.
1
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
¶btaIS
ke
T6)fl
1
x 20 = 10j
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
3. c6n0oe$i fflj 3.1 mtaj(3S
a1)O
x
6(b OJUbo
(x_6)2
900
(x -6)
±30
1
-24
36
x
1
x = -24 aujlaomjmW (ma a ø6flOa6)(m)
36 ocnal.
CJC!bo
aLJ(ø(ZflD16i 6
I
36-6 16 30
CT16)O Wbg rJJUo
ThtaI 3
X
gs
po
=
nJO(30
t.i n
3.2
CmOXT) OJUD0
1
ps
ip s
.b
lo
= 2+3 1
ra
la
ct
= 2x + 2 (2x + 3)2 = .x + (2x + 2)2 5
-4x+4
=
9
(x-2)2
=
9
ke
-4x =
x= -1
x
= 5
nJO(3o
= 5
1c6 —1
(flb6)
1
oa
ce&mo olmomomm
oJcmo
= 2x5 1 3=13 2X54i2=12
1
Thtal 4 3.3 1
BUbd[(5)o C)Jø)1Q
•
PAxPB = PCxPD
1
9x5 = x(8-Ix) 45 = 8x-8x+45 = 0
1
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
oilamLhthO . = (_ 8)2
—4 x 1 x 45
= 64-180 -.
= —116 CD njym
tho6m16x m10
8
6xru.1. mcifl.
'lbtal3 3.4 = x
63(01 c0QPJOLQ)Do (m? j116)Q (}flJ
ao wxs ciI1i = x— 5
60 .e,1JoLo)3o
600
(lT1)C (fl6)9 @Oøo =
ø,lJOLCOQo
600 -5
=
0613 6)S (3T6)th @3(Do
1
lJOL(flo
1
600_600 - 4 x-5 x
600x— 600x+ 3000 = 4i2 -20x 4-20x = 3000 —5x-750
po
t.i n
= 0 - 5±/(-5)-4x1x-75O 2x1 1
ct
—25
ip s
x= 30
.b
lo
gs
X
cii1i = 30
ke
63Ø 6,1JOL(I)Oo my"1@16)oA
ra
la
ps
x = —25
e1aioi000
ocos ci1i = ncI =
j
1
25 oanu
600 = 24 &liOtoo 25
1
Total 6 3.5 • flös
(mo6uS
=
45 - x
1
(45 + x) (45 - x) = 2009
1
4522 = 2009 = 2025-2009 = 16 x=±4 x=4x8
cmo6uj6w5
45+4=49 go 45-4=41
1 go.
-4 nxo8 oje,ci8 45 + —4=41 go 45 —4 = 49 oo.
1
Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
3.6 cmoejl
x
x(x+8)
=
105
22+8x
=
105
22+8x+16
=
121
(.4)2
=
121
x+4
=
11
•
(YOo6J,,
.1
= 16
1 •-1 1
= 7i
x Oo6UO,U
1
3OJo
fl(fl)
3B6)20J0a8
x+ 8
m)o6)J
o6
—15 1
13 —15, —7
7, 15
Total 4
11+x
oil(wl
=
22—(1
=
11—x
(11 +4(11 —x)
=
117
121-22
=
117
4
.b ip s
=
1
2
ra
la
ps
ct
x
1
ke
ai1i1=11-2=9 ocwal.
4
lo
22
m1o=11+2=13 xpi.ai1.
1+ x)
t.i n
=
gs
nJørjdi
CT)10
po
3.7
Total 3 3.8
oa11 6).jdmg 6flO6)() &,(flJ(D1 X
mny3l .e,cnjci$1
Cfl)6fl36)S n)90 X
•1
+ 5 (O T\)6T3U8 na aoJ1 -
6DO6)1) OCrUMI 6(0. (3icJcroo 6)ø36TT
6moai6)c) thmJm1 6(D (31QJCrOo 6&,36fl 6).Ja
+
1
6(x+5)+6x 6x+30+6x 22-7x-30
=
1.
= x(x
a3fl
@3(00.
@owo. 1
5)
= 22+ x = 0
22-7x =
30
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
L)q5Q
22_7x+J2=
( 72
49
30+ 169
=
13
7
= --
1c8
—13 ---
x=10 ecmomemm &,mJci1&
10 kKrOo, b6TTO6wm thcnJcI)1e6 15 1(J(fl)o
Total 5 3.9
8, 14, 20.
m
ocILcm6m1cQ)6)s
n
= 280
3,i2 +5n = 280
3n2 +5n-280 = 0 b2 -4ac = 52 -4x3x-280
= 3385 isa. cciJ).
soø
t.i n
- 4ac = > 0 1cna6 n
lo
gs
ccm 0LU6TD16)S (t$)S(&j)OcD)
.b
cJ1.
'lbtal3
ps
ct
ip s
8, 14, 20,... rs mj.% 280
po
()68cmo6J
x go
x+6 1
ke
ra
la
3.10 go
1.
1
1
4(x+6)+4x = x(x+6) 8x-i-24 = -2x=24 —2x+1 = 24+1 (x_1) 2 =25 x-1
=5
x=6 LlowGm3&3 6, 12
1
1
nThJ36fl.
Thtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
3.11 --
29.4r— 4.9,P = 44.1 4.9
lo8
6)e36fl
1
6r—i = 9 e-6t+9 = 0 (_3)2 -
=6
=0
-
-
= 3 6)cmaocf
1
oS
ect
= 29.4 x 6-4.9 x 6 2
1
= 176.4— 176.4 =0 6
6x1uc96Xf fl2o
e,cnjoo8
oim
ofl8
xm
1 1.btal 4
3.12 1
r(x+2) = -5
po
1
.b
lo
- 5 cTcnçJ.
ip s
(I)6fl)(Dn.U2JO
-4xix5 = —16
gs
ctI1acmJ€e)o=22
=0
t.i n
+2x+5.
ps
ct
x(x+2) = — 1
=0
ra
la
..z2 +2x+1
ke
ccijjo,o=22 -4X1Xl = 0 (1)6fl)(T)riJD2JO
I
—1
lbtal3
3.13 (T\)o6J
= X,
c6ie,ao = X+
1
25 =12
1
122 -25x+12 = 0 b2 -4ac = (-25)2 — 4 x 12 x 12 = 625-576=49
1
±,14-9 24 x= 4
-
1xr
3
:.
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
C1ô6J o
1 2
61 = -
-61x+30 = 0 = (-61) 2 -4x30x30
9 —4ac
3761-3600 = 121 61±11
=
60 61 + 11 60 61-11 60
ØGT1 (fl
fl31Jo x 63Ø n
)06)JD.
TotalS 3.14
P(x)=0
po
OCO cJ12J nJjMjo
oi1çj.
1
-5x-8 = 1
ps
.zI
P (x)
lo
n4)S TDOJo
.b
cQ)OcQ)1
ip s
m)o6
ct
36
gs
(-3)2 x4x1x7=9-28=-19 X
1
t.i n
—3x+7 = 0
ra
la
—5x-9 = 0 = (_5)2 —4 x 1 x —9 = 25 + 36 = 61
1
ke
a.fl6)s Cui1OJJO,o
TDOJ(8CI)(1Uo6)i
o()as)1mo(8 x ong aflaidwa
6iJe,u8 moJ1. mmlmom8 x c6),12Jo
mo6Ocfl1 nosImmoM
-
TD16)C OJ1GJ 1 <1W)C1I1
1 Total 4
3.15
P(x)=+4x+4 = ( x+2)2
P (x) = (x + 2)2
c1m0
x = —2
P (x) = 0
1
Q(x)=-6x+ 1O=-6x+9+ 1 =(x_3)2 1
1
re,mjocj3
O.fl6)ScO)o
Q (4
P
(x) 61
Oag O.ithJ JISRICIZO
ci1i
63MjceOejjO
m000Jao
o6uoe1.
1
1 Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
3.16 1
x=-4,x=-3
x+ 4 = 0, x+ 3 = 0 (x+4)(x+3)
= 0
+7x+12
= 0
7x + 12
= 0
ciao&c crom modbl o xI
-
1
1
7±J49-48 2
I
74-1 2
x
=
x
= 4T1cB3
-
7-1 2 1 Thtal4
3.17
OJ1(u1
om
1
=
119
+1Ox+25
=
po
+10x
lo
144
.b
x= —19
= 2499
1
ip s
k8x=-19
1
la
ps
ct
x=7
= x+1O
gs
x(x+10)x21
= X
t.i n
.J10S QC200
ke
ra
gcomo = 7 o crwmll =
17 6)m).ai1.
1
*n10 = 21 + 14 = 35 nilml = 17+14=31 xn.afI.
1
c)J1c1 ths23m.fl6X1
TotalS 3.18 )6fl c,43goi j o
i8i
(16x
jdl cm
jocii
(bJo
Cfl)OJ(,(bo
= 64
+16x
= 720
+16x+64
= 784
(x+8)2 = x* 8 = 28
-
784
8 x+ 8-28 1
x*8=-28ocz ~j~
(mlw
1
(m)16)fl 63mg cuuoo
= 28
1
Thtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL SiZt
keralapsctips.blogspot.in
6J ,
mi =
(J1()1
m1o,=x+4 x(x+4)'
= .320
+4x
= 320
= 324 x+2)2 = 324 x+2 = ±18
+4x+4
x= 16 m6mWegAM -20
1
x= —20 nipocalsomlonAoi1a1 = 16 a1. m10 = 20ail.
1
Ibtal 4 3.20
nj6nci6
=3
1
= 2160
1
omo
x(x-i-3)
1
gs
po
+3x-216O = 0
t.i n
11-30
b2 -4ac=
.b
lo
= 32 -4x1x-2160
x= 45 (fl(3
-48 Ib6m1cn1
la ra
=
—3±93 2
ke
—3±j 2
ps
ct
ip s
= 8649
1
11-30 oir3o 45
m1cDS1cZ x l = —48
ooim1S1j x = 48 kS ø3oLo i1w51@2J x,, = -45
1
1btal5
•
3.21
msm
cn.o6u =
x+ 2
x(x+2)+1
= 225
2+2x+1
= 225
(x-f1) 2
= 225
x+1
=
±15
x=14
orx=±15
x=14
or x=-16
x= —16 ffuldboolmq. 6)&36rT
8m)o6ue,cs3
14, 16
Thtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
IW
3.22 22
4c?
= 4x
+4x lcm =
192
=
196
=
196
=
±14
(+2)2
=12
or x=-16
x= -16 12
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
•1 '•
G0rr)k51
4.1 L()1O)6T3CJ
cro(3cI6m3o6rT.
-
=
OJU06fl3(/3
)' 66)
12Jo6n.
ri)cm
1
)cm M(~ Bj
1 61 acmoo
1 1 &o
061EOo
CJUo
= 15 x = = 12 x
(mOo OJUbo
1 = 20 )(n1.-
1 Total 3
rw1 I3
lo
gs
po
t.i n
aMaG WO
ra
la
ps
ct
ip s
.b
1
P 75
ke
A
6 ml.
LOPQ, LOAB
1 OA op
—
AB =
AB PQ -
.75
x1=81.9
1 Total 3
4.3
A
keralapsctips.blogspot.in k
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
LP = 900, A = 600 -
AP:PB :AB= 1 :J:2 AP=2j
1.,AB40a
-. ..1. 1
= 2 ,j
To
6xro.a1
= it (2 .j
CJcm16x ciJ
= 12
)2 6XT)J.1
1
Ic .2J.6Xfl1
Total 3
1
4.4
A
B
0
t.i n
12a1
301, 601, 90°
gs
a&,omeu3
lo
s
.b
LAOB
po
nffidW(3CAO
ps
ct
ip s
OB:OA:AB = 1:.J:2 12
ke
ra
la
OB =
1
= 4x1.73 = 6.72 19(
1
Total 3 4.5 10 CJ&Oo =
(JocJ
vf2 -
1
6)(Io.i2fi.
10 10 1 =xx = 25 oavol.
1
Total 2 4.6 fl)C$T16)C1 QW
fl13cJ18m1mo
øo
OJT) (I(06fl
ôi1 1
J(D1c)J(t)
.
myocroo =
jmlnjlmm
c4øo
e6mo
= 8 -Ji xn.a1.
1
= 4 f2
1
6Xfl.
Thtal3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
•HH1ft'
4.7
A m&ffiGWO
20 6)m).a1
B 1
.i1(tflo O6)(TT).
LADC oeQm. LCAD=LACD = 450
1
1
AD:CD:AC = i:i:J CD=8i AABC cmaos
x 20 x 8 -.J
jdi =
= 80 ,J
1
Thtal 4
po
t.i n
j.6xn1.
gs
4.8
ke
ra
la
ps
ct
ip s
.b
lo
A dW m1cmo BC cnflaeja6 Pio6mo
ri
1 300, 600 , 900
ADB X6)S
iABC
AD:BD:AB
= 1:.j:2
AD:CD:AC
= i:i:i
AD
= 6
j(-jI
=
6xn.afl.
= 45
1
1
x 15 x 6 J.6)m).afl.
Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL 4.9
keralapsctips.blogspot.in C
D
/ 6
h
1
60-
B
10
AM J1Lo O6)Cfl).
AD = 1: ,J:2
AM AADM-8 AD=6 cn1.,AM=3
1
=DM = 3,/ 6)(fl).1. BN = 3 6)Cfl).1. =MN = 10-6=4xn1. =
1 1
- h(AB+CD)
=
x3,J(10+4)
t.i n
= 3,jx7 1 ta15
J.6)m1.
ip s
.b
lo
gs
po
= 21 ,J
10
ke
ra
la
ps
ct
4.10
Ae 1-1
0
A
B
ym
(Z1?D1J26)S CDL6)1
nflT3c1fl6xn
AR
cm
1
0u0m2ioe6$1
LACB = 90 0 A ABC
(6)S
O6TDth(IS
BC
00,
600, 900
1
e6o.
1
C:AB = 1:0:2 = 6, AB = 4j
6XrO.i1.; (To
= 20
6)m).21.
1 lbtal4
4.11 AABD
dbo6mld bu8
45°, 45°, 900 1
0
C
-
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
ff1
BD =6
AB ==3 V26Xfl).1. ABD m2os ijdi =
x 3 x 3 J2
=9
1
A BC16s Gc%06mjdbu8 300 60 0, 900 CD:BC:BD = 1:,J:2 CD =3
BD 5
A BCD
BC =3
1
6xru.1.
s uøj@di =
x 3 x3J
=
0 ABCD
s
1
jdi = 9+4.5
nimIculmmad),Lmo BD
cn1.
2w,flcoJo6n
no = 3 6xr0.Qfl.
1
4.12.
po
t.i n
Ibtal 5
£
C
gs
D
lo
30,
ra
la
ps
ct
ip s
.b
120°
ke
30° 30° 300 12
A JL(mmTmlm8 LEBD = 30° L BED
/ BEC
s
BC = 10 6xro.1. ono,u3 300, 60°, 90° CE:BC:BE = 1:J:2 CE = 5 o avol. BC = 5 ,J 6xro.a1.
1 1 1
jdI = CD x BC =
15x5,j
= 75 -,J
keralapsctips.blogspot.in
1 Total 4
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in ,....
FN 4.13
II
30
lo
s ce,o6mo,u8 30°, 69°, 900
.b
AAOP
gs
po
t.i n
19
ct
ip s
OA: OP :PA
1
ra
s aon,& 450, 4°, 90°
ke
LOBP
4 ..J 6)m).a1.
la
ps
OP= 12,OA
OP: OB : PB OP = 12, OB AB
i:i:J 12 —4,j 6)QU.fI.
(,J iOCP 6)S
1
12 6xn.1.
- 1) 6)(fl).1.
O6m(I3 30 1, 60°, 90° OP:OCPC = 1:0:2 OP=2JOC = 120 • BC = 12J - 12xn).a1. = 12(..Th -1 ) 6xTu. 01 . ABBC = 4(-1):12(.J-1) = 4..j:12 II
TotalS
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
4.14
A
C zAPC waos G,%06mg6,68 450, 450, 900 AC =4
6Cfl).1.
AP = 4 6cn).1., PC =4 6Xfl).a1.
1
PD =4 maf1. CD=8.6)cm.a1. 300, 601, 900
PD = 4 onv.m% PB = 4 ,J
t.i n
s
1
cn).a1.
gs
po
LBPD
ip s
.b
lo
AB = AP+PB
4 + 4 ,J m.afI.
ke
ra
la
ps
ct
= 4+4jm1. J1m63s (D10 8
lbtal4
4.15
ufli1a oj', criIo, ciIlemo
1 ojs mocinJo-u)o 1 :
2
o.fl1 = 66xn1., m'10 =6 øjdi= 6 .ix6=36J i. xnc1.
1 1 1
Ibtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
4.16 LA60°
1
BC= 10,j Gmial.,
1
AC= 20 6)(To.a1. Thtal2 4.17
I
SQ=x,J
Cos45 =
1
x
1 •
Thtal2
/
4.18 Sinx=,COSx i-O 10
I+1
Cosx
t.i n
Sin (90—x)=
1+1 10
lo
gs
po
Thtal4
s
ke
ra
la
ps
ct
ip s
.b
4.19
FL
Sin40e = ST PS ST=PSxSin4O ° =7 x Sin 40°
mwl~
Q
1 1
=
J'QXST
=
7x7sin•40°
1
=
7x7x0.6428
1
=
31.4972
cn.a1. Thtal 4
keralapsctips.blogspot.in A
SCERT MATHEMATICES QUESTION POOL
I
keralapsctips.blogspot.in
H
4.20 LA=ZD
1
1.
Sin 0 =
&11i
I
LA=ZJj ..SinA=SinD
1
..SinA= YRsin A
I Ibtal 4
4.21
po
t.i n
1J
1
ip s
.b
lo
gs
OA = 013= OC= 6 wm.ml.
la
ps
ct
LOABcD6s nJøjdi = >( Ox 0B = 18
ra
0A1=6Sin3O 0 =6x36,
ke
1
= o8io 0ABCcrs
x6x 3=9 jdl = 18 + 9=27
OR LOBCco,s
=
= x 6 x 6 x sin 300
x 6 x 6 x =9 J.6xro.1. 'ibtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
. i. . .i
B
422
C
A
I
L
Sm 800
rL
BD
AOBC
BD
OBxSrn80 °
L
1 4
s
xOCxBD
-
=
1
x4x4Sin80°
= 2x4x0.9848
=
x4x4S/n80°
8x0.9848
= 7.8784
ke
ra
la
ps
ct
ip s
.b
lo
iOBC cD)6)S CJjCJ
gs
po
OR
1
t.i n
7.8784 J.6)cro.a1.
=
1
LOAB cD)6)S Jøçjd
=
4XOAXBD
= 2x4x0.9848 = 7.8784 j.croa1
lbtal 4 423
OA=OC
=
5
keralapsctips.blogspot.in
1
J
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
f6)j(o
sin4O° BID
cos40°
BP = =
5xsin400
=
5x0.643
=
3.2156)(r.
1
OP
= =
5xcos40°
=
5x0.766
=
3.830 6)m).a1.
PC
=
5 - 3.830=1.17
BC
=
VBP 2 +PC2
=
,J(3 .215) 2 +(1. 17) 2
=
3.337 6)m).af.
1
1
1
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
OP
Ibtal 3 425 OP=.x3 OAP.6- CO 300, 60 °, 90°orna36n
1
..OP=-a4 1 x-3x I
1
=3 x= 6 6xro.1. mmowdvrvoo 6 6)ffo.a1.
1
lbtal3
keralapsctips.blogspot.in
-1 4
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
A
426
I C
ID
= 400
LACD
Sez8O° OA
= CD=20
1
= OA AD = ADXS/n80°
1
= 20 x 0.9848 = 19.6960 a1ç mmmmlwo
øo
19.6960
1 lbtaI4
1
ps
ct
ip s
.b
lo
gs
po
t.i n
427
ke
ra
la
A
Cos4O°
=
BD
=
AB=BD
= =
ni1
BD
1
:761
1
1 26.1 096 ThtaI4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
HH 1 4.28
1
B (a)
1 16a1ç6
A
p
l6ilç
1
PQ tan 700 = 16
1 1
= 16tan70°
PQ
= 16x2.747 1
= 44En18
4.29
t.i n
Ibtal 4
lo
gs
po
A
ct
ip s
.b
(a)
ke
ra
la
ps
1
C
100a1ç8
D
B
cm16c gumo
=
tan 201 = liD =
AB= 100
1
AB BD AB
tan 20
100 = 0.342
1 1
= 292.4 f1ç lLbtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
4.30
keralapsctips.blogspot.in
A
NOWN I
3ai1. .'Jc
(.a) LA = LD=40°
1
RD nisocrumowoM LBCD = 900 sin40°==
1
RD = 064 = 4.6875 ecru.ml. = 2.34 xro.a1.
t.i n
1 1
gs
po
(b) RD=2xBC
ip s
.b
lo
... OB=BC
a 2R = sin
OR
ke
ra
la
ps
ct
16)S btLnJ3)o UMIWOM5
A
3 = sin4O 3 0.64 A'
= 2.34 6)m).1. Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
431
keralapsctips.blogspot.in
A
eana1th
LABC L1aomQcxS1 8 s,n70 0 = AC
1
.AC= (19397 = 8.51 n1. J26)s cn1e1 BC
AB = -BC
AB
= BCxsin4O°
t.i n
sm4O
1
gs
po
oT)1
ip s ct
1
ps
ro.a1.
.b
= 8.51x0.6428 = 5.47
1
lo
C
ke
ra
la
Thtal 5
432
S
MA
R
1
cos 200
-
PA_QS PQ 8
1
QS
= 8x0.9397
1
= 7.52 6)(rO.1.
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in I
C.
J
S'4,S
PS
sin20°
=
tan 500
PS =SR
PQ ,PS=8xO.34 =2.736
= 2.296
2.736
=
1.1918
xn..ofI.
Totals
433
C
D
70
°
E
5a18
A
t.i n
5ø18
.b
=
ip s
EC
I
ct
=
EC
ps
Tan7O°
1
DE
la
=
ke
ra
C.
DE
lo
gs
po
.
=
jx2.7475 23.79 a 196
I 1 Totals
4.34 a.
øgL1tho6mo
EC
BECcrJ1(s
BE
= =
30
LDEA
=
60°
DE
=
15
AE
=
2xDE
AE
=
2x
=
ioJ
15,J
6)fl)a1.
I
6)CTJl.
I 5.,J 3
6)Cfl.).Q1.
1
15
30
=
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
(D10
( is
=
15
+
60
=
b.
keralapsctips.blogspot.in
6XTO.1. = 2OJ 6)(ro.afI.
AE
=
ioJ 6)C1O.1.
BE
=
30 6)(fl).21.
AB
=
20.J
1
Total 5 4.35 a.
B
po
t.i n
A
C
.b
lo
gs
6 a1S 6
-
AB
=
ip s
Tan 45°
1
6a8
ke
ra
la
ps
ct
AB
b. A
6
AB BC
tan30°
=
BC
6 = 0.5774 =
10.39 2lc?(3 OR
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL BC
C.
keralapsctips.blogspot.in
=
6.fi 1j(8
-
10.39
MITeJl6)(j m11S oiim
oo-o = 10.39 - 6 = 4.39 Totals
L
436 a.
Z 3(0r' 30 mlgc8
A
B
I 30
=io,Ja1c?8
10x1732
=
17.32 a196
2 Thtal3
lo
gs
po
=
t.i n
BC=
ct
ip s
.b
437
C.
1
la ra
= 5 6xn)a1.
ke
QS
ps
LPQS=60°
PS = 5...J
1 1
s,n40=-PS PR
sin 40 = 0.6428 13.47 6m).1. Total4 438 fbI1L()o C)JøT)()1(
ZOPA=54° PA C.
I
= 5cn1.
1an54° =
1
I
OA
1
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
= 5x1.3764
OA
= 6.90
1
6)Cfl).1.
Total 4 4.39
E °
'cr
A
B
C CE AC
tan 20° =
21.6 0.364
AC—
1
t.i n
59.35 0 9 6
po
=
gs
21.6x,j
1
.b
lo
BC=
møJo
ps
wa10
ra
la
6)th1S63U8
ct
ip s
37.41096
59.35 + 37.41
=
96.76 a1ç
ke
=
1
Total 4 4.40
A
a.
LO,061T0
1
AEO COIM
Sin 70°
=
AE OA
AE
=
6x0.9397
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
5.64 AS = b.
11.28
&4BD coflcd 1
Sin7O°
=
AD
=
11.2 xO.9397
=
1O.59
1
n1.
lbtal4 4.41 1
LFDB=40° PD=7cm1. AD
71
=
AD
=
7x0.9848
=
6.89 xro1.
1
Cos8O°
lo
=
.b
ct
1
la
ps
1.2 6xro.1.
A?+?B=1.22
ke
ra
=
1
7<0.1736
= AB
gs
pti
ip s
A?
po
t.i n
Sm80°
keralapsctips.blogspot.in
7=8.226xnia1.
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
21Q6313CJ
5.
5.1 = 26 oau.ml. cxmo = 20 mpg CJCtb6313U =26 xro.1. cii10 ojoj.e
1 1 1 'Ibtal 3
6xn).a1.
52 = 12 6)m).a1. .JøOJ(rio = 6 ..J 6Xro.Q. JO(3CJc6
1 1 Thtal 2
53
po
t.i n
ixo = 20 6)(fl).11. nowçj yrn01nak6 c010J(o nJ 0 r3006)1 61
ip s
.b
lo
gs
lcce6)0u3 thSJ0D$161co@6mo
1 1 1
la
= Vo _212
ra
QU(Do
ps
ct
OR
(fl)OU)• yz
=
ke
1•--
Ibtal 3
54 o
=5
nJOJ(I(b(jdi JcJøj
)(na1.
= 100
i. 6)CYO.1.
= 100 + 100,J
i. 6Xfl).1.
1 1 1 lbtal3
55
= 40 oau.ml. oiøjdi
= 324
OJ
rijd
1
ai. 6xro1.
= 1440 = 1764
.oi. 6xTo.a1.
i. 6m1.
1 1 1 'lbtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
5.6 1
gamo = 16 6)cro.a1.
= 1x 24 x 24 x 16
1
= 3072 j. 6Xn).1.
I
lbtal3 5.7
moa6m) 0flO,(X6)S
nio
=
x 10 x 10 x 6
(06Oa6)() cr(U)2cJ1thcx6)S
ni(.
=
x 5 x 5 x 24
C)Jrii(t)O
=
=
200
200
I
rni1.
1
6)mo1.
I
-
)JO
'lbtal3
-
15 6Xfl).
po
ct
ip s
= 216°
I'l.
gs
nilmmoouommlong (øo =
I 1
lo
15 6xm.1.
.b
=
t.i n
5.8
1
ra
la
ps
Total 3
ke
5.9 c)OocCUT)16)C1
= =
L3thO6fl
=
12 ocru.ml.
0°
1
-
1 1
2
Total 3
Yo
r
1flJ)(o
1 =
1
120
=
1-
1
:
itr/=108it
1
3it,2 =108itorr =6m1.
I
Xbo
I = 18 6xn21.
1.
'Ibtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
M
32O6]iCao
keralapsctips.blogspot.in
Id
5.11 JOcJO)1o,
J16s
O
(1)()1Ct
1 = 301c 6xn1.
OOoOr 1 6i
nJ(j
1
= oe, = 2257t
1
lbtal3 5.12 = 50 offu.ml.
1
= 9007t j. cro.afI.
-
1
= 150071 j. cm.a1. 10
1
as irijjdi = 2400it x 10
t.i n
= 7.536
1
gs
po
= 376.80 <,j
1
ip s
.b
lo
Thtal 5
la
ps
ct
5.13
1
ke
ra
=8 @cmcoo= 15 6xn1.
= It
1
x 82 x 15 = 320
it
1
lbtaI3 5.14 QjjmmO-6(Mo@(m16)(V oiSoimo
o1øcQs 6umo h
= It
x 122 x 15
io
oIao =
1 1
itx92 x h
1
4x 1tx92 xh=itx 122 x 15
1
h=206x10.afl.
1
lbtaI4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
5.15 e,omici
fl)cfl6)SO (U
630a(oo (06T1
O6)Sco
(6TT
G)SD)O
(961t npaocm.ml, 128it ounJCTUo 3 4
pawoo &
m1a
(6
6xn1.,
6
(8
8
xn1)
n.a.)
2 1
O)O
I
I
j.m1.) eonamt
rgm
Th5
5.16 cBcn0 0
)16i
ano = 12
=
I
xn.a1.
x 12 = 23047t
1
cj6xn1.
'Ibtal 2
5.17 1
gs
po
t.i n
47t,2 =1447t
I
ip s
.b
lo
=6
m,,j@oj ,
367t
J.6Xfl)1.
ps
ct
31tJ16X1
1
ra
la
lbtal3
ke
3
5.18
amoonJm.uo 1:
oJ3rafl6fl3(18
27
1 1
kzo = 1350
ibtal 2
5.19 wom16x
os@amo h
pxwoo = 13.5
1
oo = it x 63
MYLI offa
aoó=' it x 82 x h
1 1
xn1.
'Ibtal3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
5.20 oaJ1e,0s pumo = 12 6)m).1.
(flbWOT)16X1
ocico =
x 93= 4867
1
e,xs nisonimo
n
oio
1_
j. 6xru.1.
n x 92 x 12 = 3247t
= 4861t + 3247t = 8107r
i. 6xr0.ø1.
j. 6Xfl).i1.
1
1 1 Total 4
5.21
=n x 303= 18000it 'j. 6)(T1.
OL(Y)16)CI
= 56.52
1 1
Total 2
po
La 6)CrD.1.
1
gs
37ti2 = 120
t.i n
5.22
ke
ra
la
ps
ct
ip s
.b
lo
47t,2 = 160 ..i. xn1.
keralapsctips.blogspot.in
1
Total2
SCERT MATHEMATICES QUESTION POOL -
---
keralapsctips.blogspot.in --
-.
'
°-
6.m)ke o60a8
6.1 1a1ç8 moco8 A(4, 8) i1a1ç8
ou
-
1
.bp2.16)
1
iwo8 £J(l.5, 3)
1
1
ThtaI3
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
6.2
B(Ji.flL()o
)(1Q
A(6, 0), h4, 0) OP=,J52_12
ii:o,
,J),
=h:i:
1
0, ,j)
1
ThIal 4
keralapsctips.blogspot.in
I•! I qc
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
VA
63
C(8, 12)
A(2,4) A, C
o&j)o
h8, 4); L2, 12)
nj oi ms co o @w saky
1
)cn .e,o6mcrp(us1o5
1
i16;ao8
=
162 +82
1
= 10
1
Ibtal 4
aMaG WO- B LMo
1
gs .b
lo
(1, 0)
ip s
ToJ
po
D(i1(1
~
P
t.i n
64
1
ra
1
ke
C=(1,5,j)
la
ps
ct
PC=5j
1
'lbtal4 63 1
OAxOB=OP
1
8 x OR =42
OB=
16
=2
B2,0)
1
Thta13
keralapsctips.blogspot.in
j
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
6.6 iOAP, 450, 451 90 0
AP=6
L1e,o6mo
1
:.P6,6) AOAB, 300, 600, 900
OJ(Tho
2 Qjym
1:
(tiIoUD6mD()1JO61T
OA =6 ;.AB=6,j 1
..B(6,6.j) OB= 162 +(6,i)2 = 12 X M&MOMM
1
(12, 0), (12, 0)
1&(TT)
Ibtal 3 6.7 1
Y
m1m
A(2,0)
,
p
B(8,5)
X
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
eoiko
F
ABxh=12
x6xh=12 1
h=4ani1 AC=5,PC=41'no
1
AP=3 OP = 5, PC = 4, C(5, 4)
keralapsctips.blogspot.in
1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1;tj 1
OR Tf
x
—ABxh=12 h=4m1ç AP=3comiç
po
mo6u (-1, 4)
lo
Ccs
t.i n
fl26fl$1
gs
OF = 1
ra
fl()1(
ke
BClfl[()o 0Jø
1'
la
ps
ct
ip s
.b
Total 4
xFQxh =60
x1O xh =60 h = 12 co26rygq
1
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
LiPMR M Ril= 12, RI' = 13 m(6)thO6T
1
FM= 5
R6xm2ecroo6u
(4+5)
1
= 3 + 12 =
1
R(9, 15)
Ibtal 5
t.i n
6.9
gs lo
1
.b
flJ(b
ip s
.Jkuo
1
po
A(6, 0); D(6, 0)
la
ps
ct
OP=3, FE=3J
1
ke
ra
E3,3,J) CJ() ((bo,
1
OM = 3
'ibtal 4
6.10 X
OO)(a3)
6flCr3O6)(I8
(4, 3), (-6, 3)
1
3'
fl.)aiOO)ø9)
6k13e6x6
(3, 5); (3, —2)
1
ibtal 2 6.11 (-3, 2); (4, 2)
)cm1
(4, 2) M cn1cmo 5
nfl6x/
1
Cfflb600 = 7 nJ1a3
(-1, 2);
(9, 2)
1
lbtal2
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL JOc6tho
keralapsctips.blogspot.in
fl T
x M &MOil moul
crn mflo3 (5, 0)
m1cBesxI3
(TOJo
)) (?flthC1Jo J()o
1
= 2
1
(19,2Jo = 5
1
Total3 6.13 1icm 6nh1cT3 (3, 5) 6 cwaa6lç
1 a11a3 (3, 5) OR (9, 5)
1
lbtalZ 6.14
x
BOJ1[()o
t.i n po
ei&
CI1)($)1a
1
lo
gs
6nikn (6, 3)
1
m
(6, 3)
m aAa3jajl
(4, 3)
cm mft ~ nmffT5 ceq sym aY8
= 10
1
ct
ip s
TôO,Jo
.b
(4, 3)
= 6 cwl 6yyfl q
ke
ra
la
ps
M ,%Pjo
1
Total
keralapsctips.blogspot.in ,
I
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
CO6T1kDo
7.
7.1 oiw
= 24 x
po
6s
1
=8
=8
aoc?m cn)owcB =
o1ocn
6)C)J)
1 1
= 2t - 8 = 16
ø6s ng)6po
8
1
=
72 J(
6mJo1
oii1
OJ(Jbo
Tt)16)CI63(a
1
V2=
1
=
t.i n
ø16x
ijci =
lo
gs
po
c16xi
6)J0kE
=
ip s
.b
ce)6s6ioøa
ps
ct
a (
)
=
1
ke
ra
la
=
1btal3
73 i6)MM 6)nJ5Ic96
mow
cn1crno
)s
1 1
aDO611.
c6n
om
I
cnow =
14
=
1
1 lbtal3
74 m96T3o )i,2OQ) 2cme6T\c (GT6) 1)06U36)S
O6Ucth6)S )60
Jaon)
63(01 (TUo
th6)5
1
=9
1
00 nJOc)O(fl
Cfl)OW)
9
=
1
1 Ibtal3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
75 1n$1j 1jes
moa
(Ori 06)) 6)rJ1cc)16)J 1S1
øn
O(fl)o6)JO
cn1cmo 63 3 00 0 (1lc
= 8
1
(131
s)s
Oi1(Z)o n@S
io
=4
1
MD(08 a3T6)6
06)J03S1
=8x10=80
ca,u3
1
zrr
a)6n
flo
oo,oe,00j(m
O(o6)JO,(J
(fl1j&o
= 32
o(uSho,u8
32 2
=
(T1)OU))
thO(D
1
=
1
Totals
Wi 630 00 0
11S m'kmo
o1s
O6flo (?16T1
oo q U,I qj oJ10
1
= 15
CP)o6LJaO(U)1cD,u8
fl)oG
X
30 = 450
450
øO(fl
ro
(fl)OW)
=
9
1
=
ãiocm
(rOo
O(w1e,1Ø3
cecm
0000cw1sS
1
t.i n
= 10 x 20 = 200
gs
po
63qCfl)o6)J
-
200 = 1050
TOo6)J
1050
=
(fl)OW)
ct
,1Jo
ip s
.b
lo
= 1250
=
21
1
la
ps
66
mouo
Uo = 25 x 50 = 1250
fl)o JB(I
lçj& o
s08
~
ke
ra
Thtal4
7.7 ma o p
ø6TTo
m)ow)
Oe,OCfl
ømo
1
2 -
7
= 15 x 15 = 225
io
225
=
3
= 14
6)510
c)67,o 63(O6fle1cD)o 63Ø
300
=
o1e,s
6flo
010 63(Z
= 20 x 15 = 300
oü1os cpo
=
300 +
OkDo
225 = 525 o,om
mow
=
525 1050 =
1 2
'Ibtal4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
7.8 Jcøo
ABCD
s nijdi
BEFC cx6's
4
nJ@11
10
X
X
40— 10 =30 (n.ow
e,cuith I/EEC S8 mon
4 10
=
J
OLUO
6TTi1
1
.
1
J((D1Ub col6ml§
1
=
lbtaI3 7.9 go = 1 x
1
= 5.
=4 cgpo = 14
1 4
tho(mn mammodhomam (P)3W)
=
2
I
lbtal3
=1
1
(fl)3W)
OcO3(T)
.b
3
Q
=1-=
ip s
eJO
1 Thtal2
ra
la
ps
ct
36
lo
gs
po
croowo)
a)
t.i n
7.10
ke
7.11 50
6n6
o6uth6S
,JZTUD6)aA mon6m C)J(b(fl)
oJ8,6)S
1
=41
J63CM16)aA cruaom6)()
66TW.ø6)3(J OO$
)6flo = 11
(FQ.O3CT)6)() (G1be6)o 6(TD16)fl m03CD6)(am) (m&6)6)(UItD&6)3(J8 (fl)O1W)
OJ() (fl)oG
=
41
oaofl 1
a36T m90IhCM16)C%fl3Cfl6)(T) (McBOOMM.WOUS 6).JO,(MOCDR OJ(bCfl) (fl)oG
O6)
(T)IW(T)
=
26 41
1
lbtal3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
6xoscceci8
8.
Omo ffu ;-d a 8.1
LOBA=90° LAOB=55°
1 1
lbtal2 82
LOQP=90°
1
Q CII1J
1
6)(mos~ njcaczo6rv5 F12
lbtal2
83 OJ31)o ojm
4 LAO?
m1
1 1
Thtal2
lo
gs
po
t.i n
&ThD1CT
0C)OS0J(b
OA
LABC
1
ps
mi1d
la
OJTho QJØ.
ct
ip s
.b
84
1
ke
ra
m,i1a5 OSJ(
om1c6
1
"lbtal3 85 BC=OBxAB
1
BC = ..j (or BC = 1 x 3)
1
OC=2
I 300
6009
900
1
'lbtal 4
keralapsctips.blogspot.in r -s
SCERT MATHEMATICES QUESTION POOL
1
fl(1TXkI)
6T)O6T1
QJøT)o OJ(0.
keralapsctips.blogspot.in
mki'
6?i3(J3
iajaioc$1 ao1rj1.
A, B cj)cm1oJ
1
soi
m'1ci
1
B cnflj xosoj
rn1ci
1
A xfleej
Ibtal 4 8.7
6
O3O(tIt$6)fl
ac
oo
womelsa
1
(1
cm)o c)j(oj o3cro6fl3(s CJ(b&6)(TT)
TXth
()OS(Jø
tz16rn
dhISI - 6)(MOSICUM O(TT)(tD1Cn
Lofl3e6*
1
1
rno1ccm
30OQXo
2
t.i n
'lbtal4
(3Tb
)(T1)(5)105
1
(1Jcm)o ae6)on(1(
1
ct
ps
P co p U6)jS(TD OJ(
la
athC.o3C)Jo
ip s
.b
C)(TD EflJkI3
lo
1'
fliT)o OJ(b.
gs
po
8.8
1
ke
n1a
ra
os(De,u3
I
cn10 7.33 omu.ml.
Thtal 4
1
OJ(6)(T)(1O
J?iD
6)Jo1cD) joroao$1 oJo 6x)osc)Jce.o m10
n11(3oJo
ommacrma
O1(UTh
m$1
6)rjS(fl) OAD
1 1
1 'Ibtal 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
8.10 ZOBA=90°
1
= 12
1
AB
6xro.1.
osois
ønoi@aam
cr10
= 12
1
xro.1.
'Ibtal 3 8.11 n1bj1L(Z)o
1
T)c1(i
ZR=70°
1
ZRPQ = ZRQP = 550
.
1
lbtaI3 8.12 m10
ø,omo (O,Q136fl
)QDO11Th51CT
400 (or g)(w12Jo
1
ae,o6mdi
gs
c636n
I219
.b
lo
63
po
t.i n
1
1
ct
ip s
36m1eu3 c4Th?5)1CT
la
ps
Ibtal 3
ke
ra
8.13 LBOC JOnJo
(or
o
= 100° BFC
1 6s
i3e,o6n
oim1i
oo6n)
= 260°
= 50 0
1
ZBPC=130°
1
1.btal3 8.14 63(al (10 OJfl1)a)1Cl oGmd OSOJ(rkth(I3
120°
ø115k8 myn5
1 is3
i1n
mz10
1 1
1(Z)lO,0mo Ovoceeymmw
1
Ibtal 4
keralapsctips.blogspot.in A-
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
8.15 OJø)o OJ(
:1.
63(01 ((o OJ(
ondi 1400,
1
nulci5
(6yT (ø6m3U3 o
OS(?(J
ce,(zm)e6)oJ1wo
1
OJøe6)(fl)(5)105
1
1(z)1ce06mo OJøe6)CrDC)1Cfl
Total 4 :. OJT)o OJ(Z
63(
L(3()16)J cO,Q6fl)C)
1
r) (MI (15
(T(Do C)J(
60°
0
6fl3O8 016)(TP0)1(D
T,016)0flU)0
1 1
6)(Y)OS(ZO(J3
1
010
t.i n
Total4
1
ip s
.b
lo
c)m5 3mCTD0)1CI5
)m5 cEboGmymml
1
ps
LQPJ? = 450
oi 90°
ct
LPJi'Q, LPSQ
gs
po
8.17
ke
ra
la
1
3
.
(T0o,ñ
1
= 3V
2
Total 4 8.18. LB=LC=40° LBPR = 70°, LPQR = 70° PRQ=70° QPR=40°
1 1 1
. . . .
.
1
Total 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
8.19 AD
ecm1mo LAED = 108° mo1cmki
LADE=36°
1 1
LPAE=36°
1 Ibtal 3
820 122 =18xPS
1
PS =8xn1.
1
= 3 6XTDJ2fI.
1 lbtal3
8.21 LBCP = 90° ZBAC = 90° LB =45°,LP =45° J-,C =
1
1 1
BC =
gs
po
t.i n
PB = 10
1 1 ibtal 5
ct
kID
1
ps
MA x MB = MC x
ip s
.b
lo
822
MC = 18 6xn1. Ml = 16 6xru.1. CD = 10 AB=76xn1.
ke
ra
la
MAxMB=MM
1 1 1 Total 4
823 PC =16x25
1
PC = 20 omu.ml. C M th1cn' PB
1
anmzs1x,
mxoS1 = 10 ,J çjdI = 125 .j
J.6XrO.a1.
1 1
Total 4
keralapsctips.blogspot.in ,1
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1
V
824 1
itb'2 =16x25
V
•
1 1 1 Total 4
AB =20 6gn).1. LBAC=90 (Tj(o = 7.5 6)m).1.
8.25 1
630
1
6flJ13C1I1(8 6)J6flUi1e6)(1D.
Thtal2
826 TyAajoa E F M
ojo AC AB
BD=x,CD=8—x
osm.
-
1 1
CE=8—x, AE=x-2
po
t.i n
AF=x-2
lo
1
ip s
.b
36xn1.
fJ3
V
la
ps
ct
x=
gs
x+x-2=4
ke
ra
827 e
Lc1ce,36mo (061T
1cr
0mth6)S (1U2@O1
(fløo (m6)CT1)W
<)JT?Do OJ(Q
1
Da)1a
1 1
)(rnc)1a
8.28 ojo'oo L3cIl(S OO6
J6
= 12 m1m
1
6xT\)aIl.
1( a e,o6m m16X1
V
1
(o
no r (To(3 12— r+ 35 —p r=5xroa1.
= 37 cg)m
eo6mm10
keralapsctips.blogspot.in
1 1 Total4
:-
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
8.29 L()lthO6fl)o . n16)cmaj)1th 06mo,6)s
(P)t2IIO1
-.
QCma1cr
1
(m(bo øø6nx1rn oicm)o
1 a1ct
OJ(ZL (o
I
1btal4 PWI AP=AS
1
BP=BQ,CQ=CJ?,DR=DS
1
BC + CD +AD =AP+PB+BQ+QC+CR+DR+JiS+AS =2(AP+BQ+ CR+DS)
-
1
1 Thtal4
po
t.i n
831
2
omccy1a
0001
ip s
ics
1
la
ps
ct
LA, LB
.b
lo
gs
n1em1n
ke
ra
OJT)o
I
CD osø
e,om1th
1 1
832
LAJ'Q = 900, LBQP = 90 0
1
AP x65 ejoaumomA BR oem.
1
cngL(mla,a,o6mo BR = 12 6)(Th.°I.
1
8@o PQBR
PQ = 12 offimml.
jo
o1wm,c1th
)cm .o
1ci
1 1
lbtaI 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
9.
9.1 i9x)= -3-x- 3 1
(i6IoSo = 92)
1
= 23 -3x2 2 -2-3 = 8 - 12 - 2 - 3 = -9
1
x -2 som3 u12) = 0 maja6mo.
/x) amog 9
1o8
x - 2, x) xi
JScO7ø3Bo.
1
t.i n
1.btal 4
po
9.2
.b
lo
gs
I-2) = (_2)2 + 5 x -2 + 6
ip s
=0
ps la ra
49H3)
13) = (_3)2 + 5 x-3 + 6 =9-15+6 =0
01
ke
(R1So =
ct
x+ 2 json5
1
x + 3 csoo6n
'ibtal 2 93 P1)=àx12 +bx1 +c 1
= a+ b+ c -1
JS3D3(8
1
J1)=0
1
a+b+c=0
'Ibtal 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
Ho
9.4 P(x) = ax2 + bx + c J-1)=ax(-1)2 --bx-1+c =a-b+c b=a+c 11-1) = a+ c-b =b-b =0 b = a+ C x + 1 nPisdbooco (3O:
ax2 + bx + c 63(ol
s
x+1
Gj0@IcmOizIcwm8
(b = a + c c
ciflwo) I
2+5x+3
Total 3 95 i9x)=3-2.x2-3x+2 fl1)=3-2-3+2
1
JSO,OGT1.
po
x- 1
t.i n
=0
lo
gs
P-1)=-3-2+3+2,
ip s
ct
+b- a.- b
ps
(-1)(a,r+b)=
1
.b
=0
1
ke
ra
la
a =3,b=-2.
1 1
Totals
9.6 1(-1) =-a+ b- c+ d= 0 a+c=b+d
1
P1)=a±b+c+d=0 .
1
=a+c+a+c=0
1
a=-c b+ d= 0 b= -d x - 1, x + 1 smo
1 1 rJo = 2 + 3 - 2x - 3
Total 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in 6
9.7 7 ± -.149 - 4x lx —60 2
1
- 7±,/ 2
1
= l2or-5
1
- 7x— 60 = (x— 12)(x± 5)
ThtaI 3 9.8 +3x+k=0o8 cflJAieo = 32 4 x 1 x k 1
=9-4k k
=
—4
fft& j QwomB
9-4k =9— 4x —4 =9+16 1
t.i n
=25>0
po
F(X a
.b
lo
k=4noc8
ct
ip s
9-4k=9-4x4
la
ps
=9-16 •
...
P(x) ci
nPJSdb6M@IIW.
ke
••
1
ra
=-7<0 •
1
gs
)
1
TotalS 9.9 —x-1=0o8 +i±-.Ji
2
i±-.j
=
1
2
X
2
2
2
TotaI3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
I1iii]
9.10 x)=-6
– ax+b ..u11) = 0
x– 1
1
1 3 -6x1–a+b=0 –a+b=5 —(1) x
-
2
1
cJS&o
..
12) = 0
1
23 -6x22 -2a+b=O –2a+b=16—(2)
1.
muim cmo %j o (1), (2) cux)s nJølnøOøo ~
a=-11,b=-6
1 1btal3
9.11 x+ 1
6)ft,36TT
e6DJOW
=
(R$1n9So
1
=-1 +6-11-6 =-12 u1cso = i9-2)
po
&mow
1
-
22– 6
ct
24
ps
+
la
= –8
ip s
.b
=(-2) 3 -i-6x(--2) 2 -i-llx-2-6
lo
gs
x+ 2
t.i n
1
1
ke
ra
=-12 1-1), /i-2)
omk8 12
i
:.k=12
1 TotalS
9.12 Jx) = 2 i9x)
+
-
3x
-
1
k
I—
1 crn
Fx)+k=2-3x-1+k ..2x1 2 -3x1-1+k=0
2-3-1+k=0 –2+ k =0 1
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
OR i9x)= 222 -3x —1 P1)=2-3-1 P1)+k=0 mo8 k=2
ThÜII3 9.13
I
crT).
flJ.f)J(3o
1'(1) = 0
1 I
rfl
1
cs,aocmo? m2cno? qyma a1eEan.
Thtal3 9.14 .x+a+b =(x+3)(x-5)
1
x + ar + b = (x+ 3)(x— 5)
1 1
po
t.i n
=-2x—I5
gs
a=-2,b=-15
ip s
.b
lo
lbtal3
la
ps
ct
9.15
I
ke
ra
i92)=4-14+5=-5 Q(2)=4-10+7=I P(x) + Q(x)
6XD
I udlAso = 11(2) + Q(2)
x - 2 edbom
I •
1
'Ibtal4 9.16 J)
m x- a
x) xn x Px) + Q(x)
&,36fl
u1rso = P(a) =
i,ø1
u?ilSo =
a
6XD
x-
a
k —k
a) =
ozflcso
1 1
F(a) + Q(a) =k — k =0
x - a, P(x) + Q(x)
JSø,O6fl.
'1
I I
Total4
0 ,183
keralapsctips.blogspot.in
:-
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
:M
9.17 P1x)=iLA - x + 2 x— 1
sooZJ11)=0
1
ie 1 3 -kx1 2 -1+2=0 1 - k- .1 + 2 = 0 -k+2=0;k=2
1 'lbtal2
9.18 x)=2+3+4x+7 F(%)=2x--+3x -i-4x-+7
1
= -27 + 2712 + 7 = 1; (2x+ 3) 2x + 3 rxpjsdbmou
'2 + 3 + 4x + 6
1 'lbtal3
lo
gs
po
t.i n
6molmr3o
1
ip s
.b
P(x) =a+bi- ax - b
ps
ct
i91) =axl 3 +bxl 2 - axl-b =a+b-a-b=O x - 1, F X) (
6x
jscn
x - 1
ke
ra
la
1 1
.orJo a, b Lpajda6 ojymp-Om ojlpj,%uBm6o,1 1
Ibtal3
920 P(x) =5i+3 + ar+bn)m5 - 1 so18 P1), i9-1) i91) =5x1+3x1+axl+b=0 :.a+b=-8—(1) =5x-1+3x 1+ ax-1+b=O
LDOJ JjMSMD,%6MO.
-a+b=2—(2) (O&6l136)S
1 1
$OO(o &,Ofl(tfl.
1
b=-3, a=-5 961T 6mnajr3o =
1
-
5x - 3
1 lbtalS
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
O1Co 6flCDflkO)C)J3o
10.
10.1 m1cmo (4, (12)
wofla3fl8
4)2 +122
=
(4, 12) a$1th jp
j@@ 6nik,3oio6n I (fflWOROc1Th8 Cfl1(fl)o (8, 6) TbJo
=
1
18 2 +(6) 2 = 10 1
(8, -6) nili 6&03 oJo6n5 woønfla3afl aimo
mjoo
(8, j2)
TbJo .
<1O
82 +22
(8,2) a
nJ1acjo6T1
1
(10,0) 0c16J 6MI4kojoffvi
t.i n
lbtal3 gs
.b
lo
R(6,8)
ps
ct
ip s
I
po
I
102
.c
ke
ra
la
A(J/ (3,4)M'
BU&ik($)o
$&6)(fl
1
OA =, J32+42 =,j•=5
OR = ,162+82 =
= 10
1
I
OAxOB= OP 5 x 10 = OP 0/' = .,J = 5h
rrii.
1 Thtzil 4
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
103
010
)cmo)1a)
1
t.i n
cIJ1L()o
gs
=
lo
32
.b
22
1 1
ip s
OB=
po
OA=6
•
5
ke
,J1.619
ra
la
ps
ct
AR = ..j(6_2) 2 +(3_0) 2
1
Thtal4 104 A(8,0)
1
BC=8m1ç
1
OC = ,j22 ± 62
1
=
Total 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
105 AB =6-4= 2 CD =9-4 = 5
EF= 12-4 = 8
1
2, 5, 8 OJS1(6 oia OJ c!3cI
m1c1thJo6n
Thtal 3 10.6 aoo (a, 0)
1
= ,j(4 - a)2 + (3- 0)2 = 5
1
,J16+ a2 _8a +9
16+d-8a+9=25
1
8a =0
po
t.i n
a(a - 8) = 0
1
.b
lo
gs
a=0,8
1
ps
ct
ip s
oue,u& (0,0) OR (8,0)
ra
la
TotaI5
ke
10.7 BCIbflL()o
1
Pd
pi
PA th1(T3o
(p. o)
cm()
CT)
•,J(p+5)2+(o_12)2 = ,j(p-12) +(0+5) 2
keralapsctips.blogspot.in
.1
1
SCERT MATHEMATICES QUESTION POOL C6Jo
keralapsctips.blogspot.in
1!l1
(+5)2+ 122 =(P— 12)2 52 ,,+10p+24p=169169 + lOp+ 25 + 144 =p-24p+ 144 + 25
34p =0
p=o oai&J (0, 0)
oit16x1
Totals
J1L()o odic1a5
lo
1 1
1
la
+(y—O) 2
ke
ra
(x+3)2 +(y-2)2 = (x_4)2
ps
ct
GUbo
I
.b
zim 6nfla3 (4, 0)
ip s
x
gs
po
t.i n
10.8
+6x+9+j}2 -4y+4= —8x+16+y. 6x-t-8x-4y= .16-13 14x-4y=3 14x - 4y = 3 ccm a (-3, 2) c)cm1 o el2J6s 14x - =3 m
ocim go (x, y) oil Sff
cJoe(m x = 1 m r,
OM)16)1
Jø,o
t,a3o (TthOo.
(4, 0); 1
o8
4y= 11, y= 1y4:
1
o()ao,LcT3o (1, 1,/)
Total 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
10.9
1
ol (0, F)
Aso6s (TDo
6)(1T)()105
1
= 4(0_3)2 +(_5)2
1
(3ObflL()o
,j2) 2 +(p_6) 2
= 49+p 2 _ldp+25
44+ p 2 _12p+36
—12p+40=—lOp+34 1
p2 —p-12p+10p= 34-40
(. 3)
o6UcSu8
1
po
s cn
gs
A
t.i n
p = 3
ip s
.b
lo
'Jbtal 5
(5 6), (8 12) c)crn1
la
I
ra
4 2
ke
6-2 5-3
ps
ct
10.10
ni1a3e66
oeQm) J6s
jci1ci
12-6
6
2 1
oi&5
63@D
ic1di
(8, 12) n)(m 6nfla
iS16J 6ni1CT3OJ36T1
1 'lbtaI3 10.11 (4, 5); (8, 9) c)(m1
Oç66)(Th OJØ6)S
.J(1di =
9-54
= = 1 I
Djø1c OJ(D X
f flbO
(8, 9) n0 cm
nfl
r) 6nh1a3 (x, 0)
11J6s e,smioe
o8
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1[
O-5
2
A't
532x-8
..-;
15+8=2x
..
—7
oio$1 £,Qcm 6nflcr3
x
0)
(-,
Total 4 10.12
..
(2, 5); (3, 8) cm1 OJø6)S
.j1di
,scmio&,m
8-5 3 = 3— —2 = 5 1
(5, 2); (8, 3) cm1
k8o,s1
ioecm
t.i n
5
3-2
CJ(6)S
sc
1
.
po
= 8-5 = 3
.
J(1d1
x1mo8
oi
.b
O6)SXj)o
1Jo 6
ps
ct
ip s
ø6TT
lo
gs
.
GflJ1CT3
J(1d
cJoeo øo
ra
la
U)6TT$1
ke
2
(33:
(0, 0) M
y -O
2
ffilSl cEbS( M~ a .J3 ,%;(M
O)6)S CMMCMD c&o
2
1
10.13 (2, 5); (3, 5)
C)i(b6)S
(2, 5); (3, 5)
)m1
fla3 a61&th2s1
s
gcJo6,crn
5-5. —10 -- =2 = 3-2 = yrn1 mfl 13
(4,6) r)crn 6 aflo32oA pia os
ioø,cm
1coZo,1
,sa
c
oma1xo) i1i
x —4
y-6=2x-8 . .
keralapsctips.blogspot.in
6nflc13 (x, y)
o8
SCERT MATHEMATICES QUESTION POOL
I
o8 2x3—y=2,y =4
x =3,
aio1
0-O06)J
1
(3,4)'
D OJøfl$16)J 63Ø 6n.flI3QJo6T1
x
keralapsctips.blogspot.in
i)Oo
rnflc3&6,u
6o..:
ThthU 10.14 zcm
EnflC3
(A
msm,ocB
y)
-
I 2..
y -6 x-2
2y-12=x72 1
2y—x=.10—(1) y-2
x-6
—1 2
2y-4=x4-6 x+2y=10—(2)
po
t.i n
.
x+2y=101)
.b
.
ip s
4y = 20
(1)+(2)
lo
gs
x
1 10
ra
e,oscDTo*x + 2 x 5
ke
y =5m65(2)s8
la
ps
ct
y=5
x=0 m
6nh1c
.
(0, 5)
1
Ibtal 10.15
•-..,
.. OJ
AB6,s
ojo BCc6s AB. BC ng)Cml
A, B, C g)m
i1c =---
Jø10J=
9-5
= 4 =-
=2
2
..
JUB
1 . 1
nJk!3e6xs3 630co
1ç1 m1ihe€o
- . -' ..'••
136fl)o
1
(fl)3W12
Total 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
10.16
APQR, 300, 60°, 90°
lmwaB
13 OA = 1
AQ=,0Q=
A"
!
1
LOBR, 45, 450, 900 OR = 1
v2= 1
BR =
,
1
vy 2
), OA coje s i1dI =
.b
1
1
=
2
1
ke
tan 30° =
ra
la
ps
ct
ip s
1 B(7,
lo
gs
po
t.i n
OR =
xx1moø8
1
10
OR
- jmldj = ~
1
=
= 1
1
tan 45° = 1 fli(D&,6)S ()Jo.
1 J(1OJo,
ØU& X
-
I12$1
n000-n ad h omflol tan oi1io 1
Total 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
10.17
Lw
C1iO(U(16)O
u1mo8, B wfleips B
fl$1J)S
.1
(fl) 6)()OS ())6)S
A (flJ26)S e,S(fl
6nI1ci3 (..t,
osn$16J
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.
i&d1
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%scmjanjo,%acm
1
J3O (Ti) 6)(t)3SOJ(b,U
fla3e61J6s thS
sCmcJ3ce(m
5 10-5 12-4 = 8
y)ioZ. 1
8
x-8
1
8y-40=5x —40 = 5x
5x 1
x=16woS y=lO osci56J mogocol
nflcB
(16, 10)
ThIal 4
po
t.i n
io1mo&
gs
10.18
C10,2)
ke
ra
la
ps
ct
ip s
.b
lo
L4,12)
1
A(2,4)
6)S
y
mø1ci
o
c43.øW3UDJIL(U)O
AR, CD
(J(bth1(8
ou'knoZ
Ti)o6Jth(/8
soomocm1pip
6fla3e6)
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I
AR, CD Doi ADcn6s
I
BCc&,s niolcii AD, BC
oJLe6
nOi1(,flJUb6TU3(JS
=
12-48 4-2 =
=
12-4 10-8
8
1
=
io1cii
1mo6,
O639)1Cfl3(8
BC gpoi
Ai
1 1
Thtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
10.19 C)Jø6)S .2J(?ilOJ =
DIJ
6-2 4 =
1 (x, y) nfl)ST)O(8
b)16)J 63(01 070kT3
y-2 4 x-5 - 3
-6= 4x - 20 4x - 3y - 14 = 0
roojoe,o,
$1j
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63(q aAmpJ16)(I
x cn
floU,
2
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1
t.i n
6TAn3yijoaT5
6T1fla3C1i16X CT
(fl)oGO(J e,06n)crnc1n
po
$1i mogocoa
.b
lo
gs
- -.
ThtaI 4
ct
ip s
1020
la
ps
3x-6y+ 10=0, x=1
ke
ra
3x1-6y+10=0
13
(1,
63(0 6nflo3
13
I
x=4mooai8,3x4-6y+10=0 6y=22
-,
=
22 6 1i
22 (4, --)
6nJkI3
22) II
• (13 OJ()6)S
J(flCii \ "
-9
' I =
(1-4)
9 1 x6 3
= -
1 2
Thtal 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1
1021 4x + 2y —9 = 0 nym
(x1 , y1 ),(x2, y2) -
O516)J (6T1 6flh1O3
-
4+2y1 -9rr0o 4+2y2 -9=0o
1
4+2y1 -9=4x2 +2y2 -9
1
4(— x2)+2(y1 —y2)=O 2(y1—y2)=-4(— x2) 1'2
2
X — X2
--2 1
ojcc,s iai1c11 = — 2
—2 ajmlojj@@ aml
x-4
(x,
n1k
cij(o(xA6)ej
1
= —2
y-7=--2x+8 1
po
t.i n
2x + y - 15 =0 nocmmw -6 cromojo.%jo
lo
gs
ibtal 5
ip s
.b
1022
ct
4-2
2
ps
Qi noml
6uIkt3
ke
Mj oicam9eei
ra
la
A,Bm
(x, y) A)6)cmLmm0 m8
y -4 =1,y-4=x-2 —j 1
io&,o; x - y + 2 = 0
a,s
x=1mcx8,1—y+2rr0;y3 6ni1cr3
1
(1, 3)
cS1i
60cI3
(,y) aMsImmonijo x - y + 2 = 0
(6fl.
1
mmmococa5 y = x + 2 mrajai5, X
1
UoQJ)6)S e6)S 2!
10 y
cruo61J .&,10.
1
Total 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1023 ois i1ci = ffD
= = 2
1
6)J affi(MI 6nfla3 (x, y) x-3
y-7= 2x-6
CJ(b6)$
fl)OIO8o;
2x—y + 1 = 0— (1)
(x, y) DIJ cu mQ-i]6)ej niki
1
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1
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oi5k
mn5.
1 Thtal4
po
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1024
-
lo
gs
c1(Z
y1 )
ct
ip s
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2x1 -3y1 +7=0—(1)
1
ra
ke
(1)x(2), 421-6y1+14=0—(3)
la
ps
3x1+2y1-9=0--(2)
(2)x(3),
9x1 +6y1 .— 27 =0—(4)
(3)+(4), 13x1
—13=0
211
-,
= 1 cyvm (1)
MS OcOOSaMMOM
2 x 1 - 3y1 +7 = 0 3y1 = 9, y1 = 3 1cn 6n1k13 (1, 3) P QdIPJ20S es
mIkr
(x, y)
1 y-3 x-12
s1tDoc8 ()
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(1) Ibtal 5
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
ii.
keralapsctips.blogspot.in
mice
11.1 96)o ((b1.uix0)
4bj5ldbMQS
(
1
(O6)o
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3
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97.5
35-40
8
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40-45
12
142-5
510.0
45-50
9
475
4275
50-55
6
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55-60
2
575
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2
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22.5
12.5
7
875
175
10
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6
135.0
275
2
55
30
480.0
i
keralapsctips.blogspot.in
175.0
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
3pOe6m1a ciflaommowso eom<1ci
1
(?3T6)O, ()3nJo th36T)fl(Z1CT
1
480 30
= 16° C e,ocmc1c6
1
. ..
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140 ccne9ou
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thC)O'l
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150 acnaeow £,ocii 155 (cl)e6)ou8 e,odi
34
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t.i n po
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165
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x-145=5x
13
14
x= 145 + 4.64 = 149.64
keralapsctips.blogspot.in
2
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
114 6)6WCU(3.MMI 2i(
oci
e,ocI
350 om aooA al o cii
16
&ocii
34
450
a
66)3(18
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550 ame6ocsS ffij ocij 650 acne6)ou3 a p ol oi
750 a maeoua 850 a mamoua
F
950 a
66 86
94 2
98 10)
e6)&18
100 =50 2 50-34
x-450
=
66-34
lo
16 32
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450=100X
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ct
x
gs
po
550-450
1
t.i n
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11.5 G%cth36m16xI mc
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45 ame6,008 e,odi
1
90 ama63j8 dhaoni
4
135 acne6ouS
14
180 ame6)ou3 e,ocij
26
225 ameQou8 e,odi
37
oc
45
315 acne6ou8 &oc
48
360 ame608 e,odi
50
270
6308
keralapsctips.blogspot.in
ki
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
IHHft 50
y= =25
1
y= 14 &i x= 135 go y=26 (6 x= 180o x-135. 25-14 180-135 = 26-14
x-135=45x
11 12
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11 =145+41.25= 176.25 12
1 'ibtal S
11.6 1thG)S rt)6flo
(D6)O
CÔ.3(
1
5
6
3
18
7
10
8
12
70
la
ps
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lo
gs
po
t.i n
5
9
81
5
50
40
320
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ra
9 10
(flj6)e
OOe6)Cfl)(0)1(T)
1
Ø,O(3
1
e,o6ncrp(o)1a
320
mowlo = 40 = 8 omix1o5
1
Ibtal 3
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
11.7 (310J OV.90 le fl (jcnik)
4o
3w31a6s
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thfl (cLJ)
425
6
2550
400
6
2400
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300 10300
25 3O36)(tD(CI
t.i n
mrooa efl e,o6ms)1a
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ke
a3Wo
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keralapsctips.blogspot.in
lbtaI 3
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
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SCERT MATHEMATICES QUESTION POOL
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(4)
SCERT MATHEMATICES QUESTION POOL AB= 6 o au.ml, LA ie6th.
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keralapsctips.blogspot.in 4
SCERT MATHEMATICES QUESTION POOL 3&1XD1J 0IOo
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6J6flU5I&0(fl) 6fl03e6)c1
)06&6D36n?
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
Scheme of -
Q.No 7
a)
.
Soringindicators (J1nSo
e6mJou
=
, 1
4
.
13
-.
7r 9l 4
95
n7
95
ii9j
4
1e6cnJou3 u1nso ao6n
.
7,z+4=95;7n=95— 4= 91
A
13;
4)68, OOaJ
063(o
Oø6)o
om16J
.
...
.
1
gs
po
2.
=
t.i n
91
2
1
C OJIMMOMflM
.
1
2
3-Oo
nJBo
ps
ct
1
la
=
aj
6flOo
4.
(5, 4) (2, 10)
1
ra
=
6(b
2
ke
3.
ip s
.b
lo
mflI30$1&60
=
7k;5-oo
JGo
=
ilk
2d= ilk— 7k=4k 1
d=2k
+
10-Oo
.Jo
=
5-Qo
JGo
16-oo
rjt3o
=
10-oo
njao
10-oo
oJ(3o
:
16-oo
Jo
+ =
Sd
=
6d
11k-i- lOk= 2k
= 21k+ 12k=
3k
21k: 33k=7 :11
. . 1 1
OR 1
x3 :x5 =7:11
1
11 A 16
-7
:
1
11
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3
SCERT MATHEMATICES QUESTION POOL
I
keralapsctips.blogspot.in
IT
QNo
Sub
Scoring Indicators OD
39flj1e6)ø
LOAD=LODA ZOCD=LODC
1
LADC=LODA +LODC=LOAD+LOCD
I
LABC+ LOAD +LOCD =LABC+LADC=180°
1
*)0A 6(x— 12)2
=
15000
60
CJUo
3
=X
j.xnj1.
1
(x-12)2=2500
1
x-12=50
1
x= 62
ii (1TJ0Ø8
po
r)90
lo
gs
OcaI6m36)S
t.i n
OR
1
ct
ip s
.b
—n= 50
1
cifljje,o
ke
b2 - 4ac = 9 +400 = 409
ra
la
ps
n2-3n-100=0
ua 1c6 50 oil
1
3
moj8iroifl. B
D
L 45 60 k\ C
301.
0
301.
A
CD=30 ml. AB = 30
r3
1 a1.
1
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3
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
Scoring Indicators
Q.No
cO,ID6)S
8
CjOo
r=
X
360
R I
9.
x,
y
1
m1a'
ouu8
4x =2
sosm1a5
4 riflcoe6xs8 10.
3
1
f=2
croo6ujoa9aos1e,%QS (6)
=
flo
3
10 x 9=90
1 e1(M CrU06MI009POSI (0, 1)
=
3co1
(9, 9)
gs
18 0crn mo6
1
90
t.i n
u
po
1n
ce, 1
lo
-
m
.b
e,1
go
—1
s$8
ps
1 ao 18 mo
ra
la
CMI,%
ct
ip s
me, 1
ke
1
11.
P2)=2x23 +3x22 +5X2-8
1
=
1
16-12+10-8=6 o8
Ax) 6)m x— 2 x —2 12.
js
6nfla3 (x, 0)
OJOa
orm
3
1so =6 mo6u
= —6
1
3
io8 I
(x_4)2 +(4_0)2 =52
(4)2- 9 x-43or3 x=7orl
1
(x,0)=(7,0)or(1,0)
1
keralapsctips.blogspot.in
3
SCERT MATHEMATICES QUESTION POOL
13
MWSOMO
225
275
325
375
5
8
12
Li 0
1125
2200
3900
mai(MIMUO
j.x
=
keralapsctips.blogspot.in
17700 50
425
475
r.
8
3750
1
f
3400
L3325
17700
= 354
U)J,Oo
1
fx th36TDma11o5
1 1
14.
63DWOO a1ç
n10
ao
oe =1000,1300,1600,..:
16-3oJ(3o=1000+300X15=5500 16-oo
3
1
l dmnaa oow1øczxS1 oicm mo6u
lç8
= 5500 —1000 =4500
po
t.i n
1
16
1
ip s
i
1
ic,
Ojôt
on)o,ua 1100, 160°, 90° cm) mlmldW
la
Jio
x18 A, B, C
ke
ra
15.
4
ps
ct
= 8 x 6500 = 52000
.b
lo
gs
6mJJdi = y [1000 + 5500]
m1 ima(TI5 mfla3e6x,
BCoJe6cm2 AB, BC AC 16.
AB AL)
2 1
"g
cm1 ojummW oijoymomym a
1 8ub1&6m 6nfloxs8
AL PW
1acm 6nh1cT3 M
PAl = PK
Wki=WL PW =
jDJW+
1
WM= J'K+ WL WL+AW=AK+AL
=AK-i-AL =OK+OL
1
keralapsctips.blogspot.in
4
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in - -•
Q.kO f ,
Scoringludicato4 = a
.&4PW6
çjdi
4 &$36th86S
17
J.\3(TUoh
-cru m~ jm~ mmmlwo 63(b CJU?o
= a
T1Gn
içci
OT)th6)S OJO6)C) 6)(0)3S(11) MA
QJT)o 63C
1
J,
MW
1 1
QJ04 MiMo
0
3 oawhl.
4
1 1
1cm1o5
AABC
ii
1
tD1a
OiU)o
4
,a1o8 a1cmo 8 6xn1. cie,i Pnym 6nflcI3
1
OP nisoalm o mfl , OJo om1
a
J©6)S
Ml(Mj 6m os cumam QJ
t.i n
P n5c8
1
-
4
ip s ct
xa+b±cx+d
ra
la
(a)
.b
X2 — 1=x - 1Xx+ 1 )
ps
18
lo
gs
po
m$1ci
rn10
1
F1)=O=.a—b+c—dO
1
ke
P1)= O=a±b+c+d=O
a + c=b+d
1
(b)a+b±c+d=a+c±a+c •
a+c=O -
1
b+d=O -
19
1 ( JSO) 6flJn01.JO0:2 x3 ,
3
-
1
2x+ 3
135
140
145
150
155
160
3
12
25
33
38
40
=20.
QWt2o
x-140 145-140
-
-
2
20-12 25-12
keralapsctips.blogspot.in
4
SCERT MATHEMATICES QUESTION POOL Q.No
keralapsctips.blogspot.in
Sub
Scoring Indicators x-140 5
T0t81
8 13
-
x=143
m1th
&Oo
1
flocii1 fna1c, woq
e
.
an1ci5
1
.
W,c2o o0rnmu1ci JJ1(m) s3cj1(1 6mJ01(D)
TU2)O = X
4
1
so 0j1th c omm croo = x +4
1 mlm 1 x
OJ6fl
1
%wyg
1
so,1c8
1ecm 6)OJo
1
1
1 1
.
t.i n
x+480
po
20
1
1
ip s
4x+ 4 = 324
ps
ct
22 +
.b
lo
gs
+4x=320
ke
ra
la
(x+2)2 =324 x+ 2=18 x=16 21
1
20
1i&e,o6n3 = 40°
o1OJT) QJOm)o = 55° a.% o rsmlwo b
20
sin55
sin 40
20 sin4O
5
1 2
g)m)1(8muoo b
20
sin 40 x sin55 85° a % owfl e (V ~ .
20
sin 40
1
nomMomoo
c
x sin85
1
OR
keralapsctips.blogspot.in
s
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in I6)i
Scoring Indicators x2O x25xsin5O
cjødi=
1
c I
20
50 A
D
CD
8
25
CD
-
sm50==
1 1
AD= 20xcos50
1
BD=25—AD
1
BC=jCD2 +BD2
1
po
t.i n
CD=2Oxsm5O
.b
lo
gs
ø1oS18
06)0(b
2
ps
ct
ip s
d=b2 ±-2bccosA
I
ke
ra
la
=202 +252 -2x2Ox25xcos5O =1025—l000xcosSO
1 1
a = ,11025-1000xcos50 22
=26 wm.ml.
= 20
i1€o,rno nJO(3OJ.O6
=
10 ,j
gcomo, h
xro.1.
V262 _102
hJ,cQ)øo,
1
6)(1O.21.
1
=
..J242
= 24 wm.ml.
1
+ (5ñ)2 1
J576+5Oj
onkDo
.d)
=
joduojmpj
X (10,j)2 X
24 = 160.
= 20 X
10 ,ñx
1
J.6Xfl).i21.
626
= 20,j1
keralapsctips.blogspot.in
j.xi1.
1
5
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
1I 1s'l I
LHH
OR
1)
-
Scoringindicators
Q.No
h= h=2r
=
1
1
1
i1i Jø1C)JD)(00
=
Vh2
1
+ /2
1
ip s
.b
lo
gs
po
n5(J1o,6)S
=3 ir 12
t.i n
c)(bo: oJ0f3CMj0CMo
=
ir rl+
la
ps
ct
JJ
=2rr,jr±=.,j2r/ 2 +2r/2
ke
ra
1
øGnkno (m;ejjmo6n5
= r5 ,r r> 2 ,r 12 1
sx8 -iø
23.
J1oJ
9— 3
=
4
12
=
3
nflcv y-9
x-4
1
= (x, y)
cooS
1
3 2
2(y - 9) =3(x-4) 2y— 18
= 3x— 12
2y=3x+6
1
- 3x —6=0
keralapsctips.blogspot.in
5
SCERT MATHEMATICES QUESTION POOL
11
1
H 6JJ6)B(T)JOU
se
Siore
y=0
3x+6=0,x=2 6J6rnx1e6)m) 6riflcI3
3'-. (6)CT) ejarLOaoaaamouB
=0 = (0, 3)
1
la
ps
ct
ip s
.b
lo
gs
po
t.i n
1e€cm nflcI3
1
ra
3'-
X
= (2, 0)
ke
QNo
keralapsctips.blogspot.in
is
f
keralapsctips.blogspot.in
.. -
5
keralapsctips.blogspot.in
ke
ra
la
ps
ct
ip s
.b
lo
gs
po
t.i n
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
SCERT MATHEMATICES QUESTION POOL
keralapsctips.blogspot.in
UNITWISE WEIGHTAGE 1
2 3 4
09
on(bLubGm1thc6
09
CMIMM6MUS
nooe,cl m)cJo
16muB
08 08
10mi1aD1
5
13u8
09
6
fl)o6ø,U
05
Cfl)Ow)6)$
03
8
xosjco5a8
08
gs
po
t.i n
7
06
oai110
rm1oio
08
ra
la
mo11fl6m
ke
11
ps
ct
10
ip s
.b
lo
9
keralapsctips.blogspot.in
07
80
SCERT MATHEMATICES QUESTION POOL
Unit
møm1ø,jS
2
3
4
5
oos1 oo.ejn3u3
L()lO6T'fl1()l
øiu3
6
cnow
s
wm10
% of Score
4(3)
14(4)
3
9
11%
2(2)
5(3)
15(4)
3
9
11%
6(3)
20(5)
2
8
10%
7(3)
21(5)
2
8
10%
8(3)
22(5)
2
8
10%
3(2)
9(3)
2
5
6%
1
3
4%
17(4)
2
8
10%
18(4)
2
7
9%
12(3)
23(5)
2
8
10%
13(3)
19(4)
2
7
9%
23
80
100%
10(3)
16(4)
9
ieu
11(3)
.b
ose,iS
ke
ra
la
ps
ct
ip s
8
lo
gs
7
ooa,c/
Total Total No.of Score Questions
1(2)
t.i n
1
Question Number with Score (Score in bracket)
po
Si. No.
keralapsctips.blogspot.in
10
O1a1Do
nj10m1uojo• 11
keralapsctips.blogspot.in
