SSLC SEPTEMBER 2013 No. of Printed Pages :
15
www.kalvisolai.com
SS UC - 2_O lg _J3af
llfllliill lil lil I illlllfiillilillllllllliilillilil
aarflprb (
Gn
pLflB LopgLo
3771
.",,,rpft1,nff
/ MATHEMATICS
grrdeu
eil
Ull
/
Tamil & English Versions)
\Nww ' Kalv i'sot'{i[ffi13,
- :l,: Loaorfl r
S0B926
Time .{llon,ed : 2% }'Iours ]
Log-G-ainaei : r00
[Maximum Marks : 100
(1) =+arem$g er9lennrisqgLb
;xflqeotl :
(2)
sf'lurns glesu u$1arn61 zeirorp n ereiirL:peoen + r11 nn$g6 Clsneirorqrb. e1s*Lt u$1or9el geogl uSlg L.l r_9 eiir eleopri saimsnaofl Lr u nonrflrri lrenqu ns Glprflofl6sq ri. $euLb.erd;eug slgLrq en Lou9leoen Lor@GLo oqggeilpfqgLr uueinu@$p Gerain@ rn. rasoir erao lo:p$ 15 G ueinCl eb r u eirL: @$pq Lo L-L
Instructions
:
(1)
Check the question paper
fol fairness of printing. If there is any lack of
fairness, inform the Hall Supervisor immediately.
(2)
gd u r-.i' Note :
Use Black or Blue
Seuo,9arn$pneir pireng r-Q fi elsen eir& Glo nainr51. This question paper contains four sections. .91fl.,1
qgfluq
ink to r.r'rite and pencil to draw diagrams.
: (i) gnlqflaid (rr)
Gsn@risl
- I/SECTION-I
reiron 15 or9ennBsqgdgri
e$leoruaflriselLb.
r@eirar p neiirlg or9len rsofl el rdleqLb eflunelr o,91aolen Gp+$Clp@$gl CqCl uS' O a61enr ugl eoenq i GeriggL erqggs. u
15x1=15
u$
-6rl
:
(, (ir)
1. I
S
Note
:A + (.a)
If
ro
Answer all the 15 questions. Choose the correct answer from the given four alternatives and wrrte the option code and the corresponding answer.
gO 6(Dqpu+nnq
(+)+
LoSgLb
n(A)=5
6rdlei-> nG)
(g) s
-f : A -+ B is a bijective function and if n(A) :5, then n(B)
(a) 10
(b) a
(.) s
(m) is equal to
:
(d) [
2s
25
$19uqs
/
Turn over
SSLC SEPTEMBER 2013
www.kalvisolai.com
377t
2.
eir6fr6lr ereoflo 3a +
n 6r6trlt6.1 a,r@$ Glpnrri ot rflaieugl6D etar Ll$5 3b+7,3c+7,31+7,3m+7,3n+7 erc,rlrp G)pnrn eu rflar+
a, b, c,1, m,
Z
:
(er) gO 6lugri;15$ Glpnrri
oufleo+
(:t) gO a'r@$ GlPnrri orrflar+ (6)
gCf
(")
Glu19&15$ GlpnL-ri ourflareqLb slebeu eCq s'L-@$ Glpnr-,ft eurfleneq6 ereua;
LonfleSl$ Glpnrri orrflene
Il a,b, c,l, m, n are in A.P., then 3a+7,3b+7,3c+7,31+7,3m+7, 3n+7 form :
(a) a G.P (") a constant Sequence
(b) an A'P (d) neither A'P nor G'P 11
3. 96 Glug&g$ Glpnrri ourflareugleu tz: i ,pgl'
t3 =
i
a-erflcil, etpein G1un51
or9l6pLn
ter)
11
i
In a G.P tz
(a)
4.
t+) :
I
I
u.,a ta
:
(O)
i
].
u"*e
n, 1
ol *
s
(+) u"
(b) aK
(d)s
96luor $flein r-6'Clun'r-o'
The LCM of aK, aK+3, aK+5 where KeN is
(u) aK+e
(m)
rn"n tt" common ratio is :
KeN ergtLb Gun5t aK, aK+3, aK+5
(er)
1
(S) uK*6
(*)
uK*s
(") aK+6
(d)
aK+s
:
SSLC SEPTEMBER 2013
www.kalvisolai.com
3 5. ar2+b,r+c:0 11,p&,1, o
U
ereinp SlOurq+ eLoeiiru nr-_qein greu
+6lu
eurouE
a.t2+br+c:g ($l) cx2+br+a:0 B are the roots of
roots are
11 - and U is
ei;
+Loeinur@.
(r,r) cx2+ax+b=O ar2+bx+c:0, then one of
the quadratic equations whose
:
(b) b;r2+ax+c=0 (d) cxz+ax+b:O
(L 1\
" [o ,,J= (1 2) eraflei-r e ein eu rflea)e
o
(er)zx1
(q)2xz
(g) 1x2
/1 r \ tt z1 , then the order of A is '' ' lo z)= (u) 2x7 (b) 2x 2 (") o
7.
6O"q"
erafl
(g) br2+ax+c=O
(r) ax2+bx+c=O (") cx2 *bx + a:O
6.
riseir a Lo$gLb B
60)p (gr6DrErs6nns{i Glsn6,t'u
(er)
If o and
3771
(3,
:
-2), (-1,
a-ein Lo$lu
(s)t
q
a)
gdu
'j.
x
2
(d) 3 x 2
qeirafleenor Senamrig6 Gpri Ganr_rq6i,r enurorl
_
]2
ererflclr
:
(+)z
Slope of the line joining the points (3,
to: (u) 1
(r,r,) 3x2
(6) -2)
and
3
(rr.)
(-1, a),2is - 1, ,n".,
a
the value of a is
'
equal
(b) 2
(c) 3
(d) [
4
$lguqs /
Tum over
SSLC SEPTEMBER 2013
www.kalvisolai.com
3771
8.
y=0
LoDgrb x=
(.9)
(0,
-4 +6lu
Gpri6Gsn@eoir Cleur@r-b qoirofl
(+) (-+
-a)
o;
(g) (0,4)
The point of intersection of the straight lines y=g and.r=
(,)
9.
(0,
(b) (-4, 0)
-4)
$q9 errqGla.ln$p
(0,
is
4)
(d)
(4, 0)
3 eraflet gal0dl6tr
:
(+)a,e
s:+
(+, o)
:
go&Gsneorrfus6rfl6itr u&srirs6lfleiir a9ldlpLb 2 :
uyu uene4soflein o6l6lpLb
(er)
(.)
-4
(m)
($)z:s
(m') 3:2
The sides of two similar triangles are in the ratio 2 : 3, then their areas are in the ratio
(u) 10.
9:
(b) 4:9
4
o-6o6u 6DLDurLDrs L6DL-ur eIl 6n [r1r Li r]
LL$
errrp$l$g
(.)
2
:2
n@sqg66
Sl
eo ru91
eu zeiren
IPOA:
(+)ao"
(er)zo"
3
PA, PB ereinuem Giouafluqeirafl n u5le$lgpgr
Glpn@Gen@ecir. $$Clpn@Gs
GsneorLb 40' oafleu
(d)
:3
:
(g)
s0"
(n)
60"
If the tangents PA and PB from an extemal Point P to circle with centre O are inclined to each other at an angle of 40' then IPOA=
(u) 70' 11.
(1
-
cos20)(1 + cot2e)
-
cos2e)(1 + cot2o)
(u) sin2o
(") 50"
(d)
(g)o
(6) 1
(n) tan2e
(b) 0
(.) 1
(d)
60"
=
(et)sin2o (1
(b) 80'
: tan2o
SSLC SEPTEMBER 2013
www.kalvisolai.com 3771
L2.
(1 + cot20)(1
-
cose)(1 + coso)
:
(el)
tan2o-sec2o
(.5)
sin2o
-
cos20
($)
sec2e
-
(r-r)
cos2o
-
sinzo
(b) (d)
- cos20 cos2e - sin20
(1 + cot20)(1
(a) (c)
tan2e
-
coso)(1 + cos0)
tan20
*
sec2o
sec2€
-
tan20
:
13. 6tf*r6, a,Lbqsoir +io Srfrilseir +nquTrasafloin ofl6)p
(e1) ro:
e
sin20
Gls rai,n
Lb 4 : 3 e.eoflel eueoaru 7u
(9)8:6
@
eirenelr.
GngLb eter$$ein -'
qserfleir o9l6lp Lb
(g) +:e
,
(r+) 3:4
T'r'o right circular cones have equar radii. If their srant heights are in the ratio 4 : 3, then thejr respective curved surface areas are in the ratio :
(r)
14'
1,6
:9
(b) B : 6
(.) 4:3
ng u rglg eiren eigler qra aafl eL rfrsLr Giurflu Lo$)uq Lo$uq 28 ereflel el$Gpngurglein o8lariGlsqg ;
Glp
(.e{)++
(q)0.72
(6r)
(d)
3:4
72 atpga 16lo+ 61fl u-r
0.44
(r,r,) 0.28
The greatest value of a corlection of data is 72 and Lhe reast value is 2g. Then the coefficient of range is :
(a) 44
&) 0.72
(.) 0.44
15. gGf Gpr,dleil $)19 usenrsoir e_lgrruu@6leinpen. grorisaflgib gG7
1er)
111
:o
eremlemrns @qE6s
(+)
,
$lsLbpsq
(O)
(d)
0.28
useoL_ugoi;r $rTeror(5t
:
(,) :
;
Two dice are thrown simultaneously. The probability of getting a doublet is
-t1r (a) %
rt,);
n, i
(d) [
:
i
$6Lrqs
/
Turn over
SSLC SEPTEMBER 2013
www.kalvisolai.com
377L
- IIl
r-9,flq
SECTION -
(Lo$luGluainseir : 20)
gfluq : (i)
(i) (ii)
't6. A:{1,
1.0x2=20
ns o$airuoflriaeqLb
g:p6n e$l(rt65 6fGpgIl Lb 9 or9leor6seoor3i Gpnq Cl+u-:uqLb'
14 orglennri;oafl
:
(Marks : 20)
ug51 oslarn6sqg&i5 ofleorulaflBooqLb.
(i4 eflenn erain 30 rig Note
/
II
s enl'q1-l u
Answer 10 questions. Question nurnber 30 is Compulsory. select any 9 questions from the first 14 questions.
2,3, a} Lo$gLb B={-1, 2, 3, 4, 5, 6, 7, 9, 10,'t7, 12\'
eretra. R:{(1, 3), (2, 6), (3, 10), (4, 9)} cAxB 5119 Lperl 6r6ofl6D, R 6r6oT{i BtrL,Gl6. LDE$ b grp6i,T asries$$leoelr snai'ns. Let A = {1, 2, 3,
4l
and
B: { -1,
2, 3, 4, 5, 6, 7, 9, 10, 17, 12]l
LetR:{(1,3),(2,6),(3,10),(4,9)} find the range of R.
77.
(AuB)'
ri6
Clateinu
lLil
c AxBbearelation'
Show that Ris a tunction and
ouelrus.
Draw Venn-diagram for (AuB)'.
18.
Glpnrn
orrflao+u91oeunp
ennqrilg 919 er@$SrBunLO p(Ds'
Give an example for a function which is not a sequence.
L9.
r6.Glun.Lo. sreiors. x2y'l xy2, x2+ty
Find the LCM
x\+xy2,
g 96 +rfq
x2+xY.
SSLC SEPTEMBER 2013
www.kalvisolai.com 3771
20. Eri-eis.3r-9=z -t
Solve: 3:r
(2
2-1. A:
I
l-e
LetA:I
22. enurqri
- 9:2 x 3')
1
5l(2 [-e
3 5
7
lrJ rr*n (1
A
eiir
s.rreu
GpriLong erooofleouri snains.
t
- lz -t l. ,n"n find the additive inverse ot A. )
GsnemrLi a5" Lo$gLb y-Glerr@$gain@
GpriGsnrrq6br
eroein u
|
.ZCf
r-fanp6
Glonainr
nrenr6 a.ge.
Find the equation of straight line whose angle of inclination is 45" and y-intercept is
23. A(2, 3), B(4, 0) Lolgl6 c(6, - 3) gdlu gr
6rl
LD
seir gGry Gpri6Gsnrrlei;
ri5r6iT6n6[r ereo r6]enril.
Show that the points A(2, 3), B(4,,0) and C(6,
24.
q eirafl
J.
-3)
are collinear.
LLqp gl9 +roGlorrrq AD S6ilgl, urisib BC g o cil e$$lr+;6lpg BD:2.5 Gls.d ag:S Gi+.r-6 Loggrn AC:4.2 Gle.d 6r6bfl6l. oC AABC 6!
gri
lA
eratp Gonarr$$lein
snaine
In AABC, the internal bisector AD of lA meets the side BC AB=5 cm and AC:4.2 cm, then find DC.
ai'p. If BD:2.5
[ $]1guqs
/
cm,
Tum over
SSLC SEPTEMBER 2013
www.kalvisolai.com
3771
25.
0
gi9
gg6Goiremrr-b Lo$g ri sino
if
sinO
:
26.
98.56
:
cosO
oa{leu
cos0, 0 is an acute angle show that tan20
e.Gle.d.
tan20
2cos20
:
0 eren
$1q9r-9ss
2cos20 = 0'
-
qpuu[ul'] Glsnainr 919 $ai'nLori;
Tf the curved surface area
-
Gsnon$$lein eSilpaop& sraino'
of the of a solid sphere is 98'56 cm2' then find ihe radius
sphere.
27.
&Dp6r6r1. aa tD[S$6irn6Dn6fl 919 $rai'nLori s'Lbrgloin erqs 5n6drT6 ' 12 LS eraofleu er$$aimrodt s'Lb L9lar 56b1+'16rr6oor15
rf
Lolglrb stpcrl LLi'ILD
wooden solid cone is 44 The circumference of the base of a 12 m high volume.
28.
gpero 13
$uo
erainsafl ein
$rr
o$oBa$arp6
m
Find
tl.re
566or6dlGr5'
13 natural numbers' Calculate the standard deviation of the first
29. peing saro$5 6oeri&5ulrLL
fr@ri
srrqerSllg$5 +tn er@6oLru@6lgl$ erBpri' sr-@
52 SL-@seoorri Glsnenu
or.rnuruq+ Genpeoem 19reopr.rglo giry sr@ 5r6nr5' r5leinor lger emar ns Sr196s $)sgp psorlsatma (ii) eiuGu@ snn@ o(EUq one card is drawn at random' Find the From a well shuffled pack of 52 playing cards' probability of getting : (ii) a sPade card (r) a black king
(0
glrrer
30. (er) eratf)u5lei;r Glug&seu uo6i'r sndins [-tr) t' -7) g{a)a)gl
sec0 sin20 (+) 1 +secO 1 - cos0
crem
pgels.
(u) Find the product of the matrices
[-i) OR
(b)
Prove that
1+
seco
sec0
sin2 o
_ 1
-
cos0
,' -,
SSLC SEPTEMBER 2013
www.kalvisolai.com 9
3771
CIlflq - IIIl SECTION - III (Lo$uG1i:aimseir : 45)
/
(Marks : 45)
qgfluq : (i) 9 oSlenmrisqgtiqg eflarruaflrisqLb.
Note
:
9x5=45
(ii)
6r6di,r a5 6g oainruquuno egelrL-uaflrisa,1Lb. gopd 14 er91en nriseifle$lg$gt -6rGp@l Lb 8 e$ennrioenon$ Gprieq Gl+u-rueqLb.
(4
Answer 9 questions.
(ii)
Question number 45 is compulsory. Select any 8 questions from the first
o6ielr
'14
n
quest ions.
31. X:{1, 2, 3, 4, 5]r, y :{1,
9l
ereas. X dlgtlgt Y risner rpeqseir 8Gp G1e nStrisu u r$teirarar. $tor$$lar ereoel enriunqgLb? lein or9lat rdrs r6n p19pp snrJemLo pq5s. GLogrn, gleoeu anriq erelfl ei-1, erelareos+ +nriunlgri?
:
3, 5, 7,
(i) (i,
R2: [(1, 1), (2, 1), (3,3), (1, 3),
(5, 5)]
(ii')
R?:{(1, 1), (1,3), (3,5), (3,4,
$,nl
(i")
R4: [(1, 3), (2, 5), 14,7), (5, e), (3,1)]
tf X=
{1, 2, 3, 4, 51,
(i) (ii)
nr={F,
R2:{(1,1), (2,1), (3,3), (4,3), (5,5)}
(ii,
R.= {0, 1), (1,3), (3,5), G, n,
(iu)
R4={(1, 3), (2, 5), (4, 7), (5, e), (3, 1)l
Rl
{(r, y) lL/:
x+2,.t
e X,
y
e Y}
y:
{1, 3,5, 7, 9} determine which of the following relations from X to Y are functions ? Give reason for your answer. If it is a function, state its type. V)
ly:x+2,
"t e X,
v
e Y}
9,4}
[
619,-,qs
/
Tum over
SSLC SEPTEMBER 2013
www.kalvisolai.com 10
3771
110 Gln 170 atnqrieosunarnoofleu 115 Gun Glpneoeurionrfleouq6' Lb Iueirr@$5Ldlpnriseir 6rnGl6irr65l6rlurulrn LoSgLi 130 Guri r$$)rfleossaronq
85 Guri Gpneoeu6snl-f) aeinueop g19 ogonbLrf $gorenLb oedinrfl$pgr' GLogLb 'rp$,n-ss6o6lru-.lLD, 75 Gui Glpnaoeurisrudl Lofgri ernGerrer\leouqLb' ,69ti, ein$leo enq Lb s5 Gun eu nGlennaSl Lop96 r$$fleosseoonqLb' 70 Gun q9l ofler r;r or s eo enri uueinu@$58pnriseir orelreLlb sai'nrfl$5 Glarailrur$$eu L9larellgoreorel$ar glli; sneroro
Odlpgl,
erainemfl rieos '
(i)
eu
(ir)
Glpneoeu6snr6eou
(ii,
Gpreereuriunrfl LopgLb u$$rfleo55ar6nu uueinu@$$ u u-t oiiru $r$pna ns6lfl 6itr er6dfl660flri6oa'
nGleunasleo
ul Lor@Lb uueinu @$Suelnsaflein
or@ri u uaiu
@$5ueu risoflcin eraimalflrieos ar nGlemneSleour
u
Television' 110 use Radio An adveltising agency finds that, of its 170 clients' 115 use Television and duglrin".. A1so,85 use Television and Magazines' 75 use faO to "t" ^"a Magazines, 7tl use al1 the three Draw Venn diagram
nraio
SS
rr" ir,lio
represent these
ancl
data. Find
:
(4
How manY use onlY Radio
(ii)
How manY use onlY Television
(iii)
use Radio How many use Television and Magazines but do not
?
?
?
33.91ryGprrlrrisrrr1rrri+rf}olse)lrq66l6Daolrigehflalarg{eoLorig$]rL_16]@6lprrft. gpen aurfleo+ri1q 97 Glerissseir Gpeoouuu@8p5 6leinq i,n--*1;$)* $aimL-
golGlalrg
o-rrfleoeugl6tl
ar.arBs ACqqpgotb 6rfanrqryi'T@ ^Gl+d'Lufrsoir OarSeu1s eu 25 eu fl al +s erfl 6 L-t rgl ein, eloln eunras GolainEul Lo u
L91 Gerain$r rn. el ol ou rgeo G)erispsafl ein erai,noufliieos er$palen?
in his garden The longer A gardener plans to construct a trapezoitlal :!1f"t1 :tt":t"1u row must be decreased by ,ia1 of tup"roia needs to start witi a row o{ 97 bricks' Each stop at 25th row' Ho* many bricks 2 bricks on each end and the construction should does he need to buY
?
SSLC SEPTEMBER 2013
www.kalvisolai.com
tL 34.
r9leinergLb Glpnrrfiein a,@pateuri 113 + 123
113 + 123 + 133 + ..........
36.
m
-
n-t + 2812 + L2x3
:
+ zg3
m-nx+2812+12x3+gxa :$),r qseoorr$ snainro. If
snalis.
+ 133 +.......... + 293
Find the sum of the series
35.
9771.
=2!6119l
@O grqg
ou ri-tsoLb ereofl
el m, n 96luorpflein
+9xa is a perfect square, then find the values of m and n.
o, B areiiru em 3x2-6x+4:o ereingr Lb eLoeiiru nr- rqein u)6Dfli56ir Lopuqri snons. If a and
B are the roots
ereffi
el
.,2+
B2
of the equation 3x2-6x+4=0 find the value of &+92.
8\ 37. A: 11 l,(' ,z- )I erertlcil A2-3A-54I:0 eren f
qg
rg[i,s.
ff A :(1- 1l ,n"r, show that A2-3A-s4t :o 2)
\7
38.
(2, -5), (3, - ) LoggLb (9, K) Lo$)uq snemle .
gdlu
qeiroflaoir g1g GoruanLoouen erefleb
Find the value of K for which the given points are collinear. (2, -S), (3, (e, K).
r
-4)
ein
and
39. (-2, -1),
(4,0), (3,3) LoSgLb (-3,2) gdlu qeirafloenon erfleneurns 6r@pglB clsnain@ enur66l6D6oru uueiru@$$l elenou gri $raraursl$arp eleoorioLb eren.i
d)I L(rrCb.
Using the concept of slope, show that the points iaken in order form of a parallelogram.
(-2,
-1),
(4, O),
(2,3) and (_3,
[
$guqe /
2)
Turn over
SSLC SEPTEMBER 2013
www.kalvisolai.com
12
3771"
40.
Gsnau Sl19 eLoGlourrg$ Gpppp-p erqg$ pgL96s State and prove angle Bisector Theorem'
41. tanO*sin0=m, tan0-sinO:n Lofgri m+ n
arefler;
m2-n2:4"6i
eramii snr--Sts'
m2-n2=4J n ' If tan04sinO:m, tan0-sin0:n and m + n' then show that GLopqp eJrb LDpg)lLD un$$lrlrn $teourisoonL-6 er r-+6$6n reironS elpein liq, g-pC, 8 Gle.d LopgLb 14 Gl+ 16 ereins "eruun$$7$$ein s6nel6ri6rl
4?. gg
5Y6 3
*.Gt*.,-6. erafl eu et
A vessel is in the form of 8 cm and 14 cm
r-qLr
a
uris$$ gldrar
er
rr$$ein $rp$arenri snairis'
are frustum of a cone lts radius at one end and the herght
respectively lf its volume o
lT
""f
'then
find the radius ai the other
end.
G]snaimr AO 0L err-r6Gsnarm eto Lr rsrsrs6rrirsu a,Lbrgeoar Lrpeiir p-&61 A eug!uns e(9 p6rp$6nneu S19 u ns$$1en Gl Lon$p upu I [u Seoenti srr66rrs' r91 rflrieu u @61p51 elp6itr 919
43. 3 Gle.L6. sJ[6 toEgb 5 Gle L6 errqurlb
5 cm is cut by a plane A solid right circular cone of radius 3 cm and slant heightof a single piece' A'i*. two exact pieces' Find the total surface area
;il;;;h
SSLC SEPTEMBER 2013
www.kalvisolai.com 13
377L
44. gO Ll6u ,Ddlp6,l,Egr elp@l6oLrr ourqoreoLoLrr_g$ons
orgllggt Glrgrn $)sElgeq
6lp$p goarpu9lci o6lGlrng# uuoinunrrqssnor a6lgg dugLir ,61"1]lp"q 0.3s LofgLb 6O uflOg*€yLb GLgerggoneo, poBpoq-o1s o#c; 0-25 ereirs.
etLoLodl5pqggl. (')
(96Dp,Ep5r 6rpn6)jgl]
rii)
AGr 5lO e9g5l Lor@Lb Glugpeb $1s;lgsqoaren d
g(D 66](Egl Gugpeir
qdu
$ls;lr+6tsqgiisnen
snains.
The probability that a new car
will get an award for its design is 0.25, the probability ihat_it will get an award for efficieni use of fuer is 0.35 and tiu prouuiifity ihat ii wili get both the awards is 0.15. Find the probability that
45.
:
(,) (ir)
it will get only one of the awards.
(er )
rr
it will get
atleast one of the tr,vo awards.
Lofgrn 3 gg!Lr rneirsaflein Gl Lor$p erlrareu q9. 50. Go@,Lb 8 clueiirflels6ir LosgLb 3 erg!urneinsaflein GlLon$p a,grer. g. as *aannlgtq Glr ein8eb LDpgb g(D etgluunein afleoeuaouti snains. c1u ein8 eboeir
gl6D 605l
(g) zeuod sn'elr$g Grnrrgsaflel-r 71 geinaralfl osTriseir er rq$p Gsr6bs6rfl6irT erai,nemflri ao s u9 ein orglol qru seir einel g Lb et r r_ol ao eolr ug ei; r-9
Clon@risu u r@eirengr. $te!
(u)
r-9rflq SaorGlerofl
0-10
pspGlouainseir
8
o.9ler f
1.0
- 20 20 .1.2
ri
pSleiir df r-rofleuris
sn6r0rs.
-30 30-40 40-50 50-50 60 -70
77
14
9
7
4
The cost of 11 pencils and 3 erasers is Rs. 50 and the cost of g pencils and 3 erasers is Rs. 38. Find the cost of each pencil and each eraser_
OR (b)
The following table gives the number of goals scored by 71 leading players in ' international football matches. Fi,,d the standard deviation of the
diia.
Class Interval
Frequency
0-10 10-20 20-30 30-40 40-50 50-60 8
12
'1.7
14
9
7
60
-v0 4
[ $19uqs
/
Turn ove'
SSLC SEPTEMBER 2013
www.kalvisolai.com
L4
3771
- Ivl SECTI0N - IV '-Sllflq (ro$luGluaimseir : 20) / (Marks : 20)
gdluq : gerGlaung o61arnofl96 zdr6r S[6ddr0 ton$p oflenn&sofle6l6$5 9g $q9
orglennarer$ Gpn$Cp@$gJ
Note
o6lemnrisqgri1g1b
er9larruafl6soL1ri 2xl0=20
Answer both the questions choosir-rg either of the alternatives'
:
Glpnareua6leu 96 4G. (et) 3 Gle.rf. €rrcpeirai ouL-r$$ein arLou$peSg$gJ 9 Gle L6 n@ Ga n@ o eir q eirefl eo enri lqfl rie. s u q enofl u9l orSl gi$gl or rr$$ f 6 Gl p
elrdofpg], etpein $6ndrs6oar seomri6l@o' (eteneugl )
Gls.6, en=a.a G1+.r-6, en:s Gl+ r-6' ofpLb CD:5's 4lene4soir Glsnainr ouu pn$s7Lb ABCD et160[5'
(g) en:o (a)
Gl+
16'
oeingr
of radius 3 cm' and Take a point which is 9 cm away from the centre of a circle draw the two tangents to the circle from that point'
OR
(b)
8 cm' Construct a cyclic quadrilateral ABCD where AB = 6 cm' AD:'1
BD:8 cm and CD:5 5 cm
47. (gt)y=2.r'2-r+3
ouenrJu
rLb oleoys' 3l606!Jsl
(+) gO erru6l, gppr; gr.qtoseoflein enoruq$ '-"'i,irry
Glpneosli1g 10% pefl
or
rr-9
etppg 9n gaior$tri;g6 6leoL-ri15Lb *L,1*[,i, Sleo r--Gu u nen Glpnrnr-9l alem& srLL 6)(E en rJu rLb aleo 1s' n J.,rqp Glpneos&gLb
orL
slp6il
(P6DLD.
(i)
(0. 650 6naruq$ Glpneoa6g6 6)arr&gLb erll-t+ topgLD
(ii)
q9. 45 orrqu-rnori
Saor6s
or ru61u91el
Gl+g$puur
erraruq$ Glpneos +561uareuf enpri snains'
Gerainrqu-r
SSLC SEPTEMBER 2013
www.kalvisolai.com
15 (u)
Draw the graph of y=2x2-x+3 OR
(b)
A bank gives 10% S.I. on deposits for senior citizens. Draw the graph for the relation between the sum deposited and the interest earned for one year. Hence
find
(i) (it)
:
The interest on the deposit of Rs. 650. The amount to be deposited to earn an interest of Rs.45.
-o0o-
377L
