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VED1
E\L-LOVELY-H\math18-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12 VIIth 11-5-13

vFkZ'kkfL=k;ksa dk xf.kr

uksV 18-4 vkO;wg osQ eq[; xq.k ,
,
*

1- vkO;wgksa dh lekurk 4 # ) 2
nks vkO;wg
, . / , . / rqY; gksaxs ;fn nksuksa osQ Øe cjkcj gksaxs vFkkZr~ , 1

, vkSj , gksrs gSaA

2- vkO;wgksa osQ lerqY; lEcU/ 4 5 # - ! # 2 -
;fn
- - vkO;wg vuqowQyuh;
gSa vFkkZr~ leku Øe gS_ rks
!
,
1 LorqY; lEcU/ ( B (
!!
, ⇔ ,
lefer lEcU/ "# (
!!!
, vkSj , ⇒
, 1 laØked lEcU/ K
(

tgk¡] laosQr H
⇒ ;fn ---- rks +
vkSj ⇔ ;fn vkSj osQoy ;fn ,

#

(v)
,
dk vFkZ gS , tgk¡ ! , - - !- vkSj ' , - - !- - ;g LorqY;

lEcU/ dgykrk gSA
(c)
, . / vkSj , . / gSa rks
, dk vFkZ gS , ;k , vr%

,
∴
, ⇒ ,
bls lefer lEcU/ dgrs gSaA
(l) ;fn
, ] bls , lefer lEcU/ dgrs gSaµ
, vkSj ,

vr% , ∴
,

vkO;wgksa
- - esa og lEcU/] tks LorqY;] lefer vkSj laØked gks] rqY;rk lEcU/ dgykrk gSA
mnkgj.kkFkZµ
 x + 3 2y + x 0  − 7
rqY; vkO;wg dh ifjHkk"kk }kjk - vkSj * dk eku   =  
 z − 1 4a − 6   3 2a 
vr% nks rqY; vkO;wgksa osQ laxr vo;o rqY; gksrs gSaA
∴ 0 ! , 41 0 , 2;1 * 2 , ! vkSj $ 2 ,
bu lehdj.kksa ls , 2!1 , 2 1 * , $ vkSj , !

18-5 vkO;wgksa dk ;ksx ,oa vUrj

*

;fn
, . / ,oa , . / nks 9 Øe osQ vkO;wg gSa] rc mudk ;ksxiQy
0 ge Øe 9

vkO;wg , . / ls n'kkZrs gSaA

tgk¡ , - ! , - - - 1 ' , - - - lHkh ekuksa osQ fy;sA

;gk¡ ;g mYys[kuh; gS fd ;fn vkO;wg leku Øe osQ ugha gSa rks mudk ;ksxiQy lEHko ugha gSA