c 7 math.pdf

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ftYgk ifj”kn ifj”kn ofj” ofj”B izkFkfed 'kkGk HkkxMh ladfyr ewY;eki.k

gtsjh dz

ysf[k xq.k %&

¼fOnrh; l=½ l=½

fo”k;%&xf.kr fo”k;%&xf.kr oxZ 7 ok

fnukad %& @ @

fo|kF;Zakpsuko % &

izkIr xq.k%&

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

iz'u 1 yk v½ fjdkE;k tkxk HkjkHkjk-

4 xq.k

1- T;k nks.k ijhes; la[ksph csjht 0 ;srs]R;uk ,desdhP;k -------------------------------------------la[;k Eg.krkr2- 'ksdMk uQk fdaok 'ksdMk rksVk -------------------------------------------fderhoj dk
c½ [kkfyy ^v*xV o ^c*xV tksM+;k tqGok ^v*xV

1234-

4 xq.k mRrj

fodzh fdaer & [kjsnh fdaer ykch $ #anh a2+2ab+b2 ?kukps ?kuQG

¼ ¼ ¼ ¼

^c*xV

½ ½ ½ ½

v½ ¼ a$b ½2 c½ uQk d½ ¼cktq½2 M½ vk;rkps {ks=QG

d½ [kkfyy mnkgj.ks pqd fdaok cjkscj rs fygkfygk1- v/kZorqZG [kaMkrhy dks.k dkVdksu vlrks2- pkSjlkrhy d.kZ ijLijkauk nqHkkxrkriz’u 2jk mnkgj.ks lkMoklkMok1½ lskis #i |k-

2 xq.k --------------------------------------------

¼ dks.krsgh lgk ½

12 xq.k

+

2½ v{k; us ,d oLrq 70 # ?ksmu rh 90 # fodyh rj R;kyk uQk >kyk dh rksVk-

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3½ ,d#i dks.k vksG[kk

1½ m/ J = 45

2½ m/s = 54

3½ m/ k = 54

4½ pkSjlkps {ks=QG dk
6½ 15m2n ,difnps vio;o fygk-

4½ m/J = 42

5½ xqukdkj djk- ¼a $ 2½ ¼a $ 4½

7½ fdear d
8½ ,dk ?kukph cktq 5-5 lseh vkgs rj R;kps i`”BQG fdrh-

iz'u 3 jk mnkgj.ks lks MoklksMokMok 1½ vo;o ikMk ab+cd+ac+bd

12 xq.k 2½ lkis #i |k-

¼

+ )$

¾

3½ vk;r PQRS ps d.kZ PR o PS ijLijkauk O chanwr Nsnrkr tj PR = 5 rj SQ,OR,OQ cjkscj fdrh P

Q o

R

S

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4½75-5 eh ykac o 30-5 #an ekikpk Hkq[kaM 550 #-pkS-eh ;k njkus fodyk rj Hkq[kaMkph fodzh fdrh\

iz 4 Fkk mnkgj.ks lks Mok- ¼ dks.krsgh nksu ½ lksMokMok

6 xq.k

1½ oxZ djk (m-8)

2½ vo;o ikMk

3

y2+8y+16

½ T;qfyus 250 # ,d f’kykbZ ;a= [kjsnh dsys o fx&gkbZdkl rs 2700# fodys rj fryk ‘ksdMk fdrh uQk >kkyk \

Izk’u k’u 5 ok mnkgj.ks lks Mok- ¼ dks.krsgh nksu ½ k’ lksMokMok

10 xq.k

1½ 1 fd-xzW lk[kj 16-50 # fodY;keqGs ‘ksdMk 10 uQk gksrks ]rj 1 fd-xzW lk[kjs ph [kjsnh fdaer fdrh\

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2½ pykcn+ny 0] 1] 2] 3 ;k fderh BsMu iq
3) ,dk [kksfyps ?kuQG 64 ?keh- vlwu frph #anh pkj ehVj o mph 2 eh vkgs] rj ykach

dk
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