Page 303 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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

bdkbZ vkO;wg % vFkZ ,oa izdkj

mnkgj.k 1- eku fudkfy, 45 # uksV

6

 2 4 1  3 2 7

  vkSj

  6 rks
fudkfy,A
 0 5 3   5 1 9 
gy % ! ;gk¡
, . !/1 , .$ ' /

∴
0 , . 0 $ 0 ' ! 0 / , .' ; </
!! ;gk¡
0 , 1 tgk¡ , 0

 1 + 7 2 + 3 4 + 2 8  5 6 
∴ ,   =  
 0 + 5 5 + 1 3 + 9   5 6 12 

vkO;wg ;ksx osQ {ks=kh; xq.k 7 #( 1 1 2 8((

! nks vkO;wg ,d gh Øe osQ ;k vuqowQyuh;
gSa rks buosQ tksM+us ij izkIr vkO;wg
Hkh blh Øe dk gksrk gSA
;fn
, . / 1 , . / gks rks

0 , ⇒ . / 1 ;ksx dk lapj.k xq.k
5 &

!! ;fn nks vkO;wg vuqowQyuh; (leku&Øe osQ) gSa] rks

0 , 0
;ksx dk Øe&fofues;rk xq.k 5 &

0 , . 0 / , . 0 / , 0
gks rks vuqowQyuh; vkO;wg dk ;ksx] Øe fofues; xq.k

dk ikyu djrs gSaA
!!! ;fn rhu vkO;wg
- - vuqowQyuh; gSa] rks

0 0 ,
0 0 ;ksx dk lkgp;Z xq.k

5 &
;gk¡
, . / 1 , . / 1 , . / gSa rks

∴
0 0 , . 0 / 0 . / , . 0 0 /

vkSj
0 0 , . / 0 . 0 / , . 0 0 /

∴
0 0 ,
0 0
!" ;fn
,d vkO;wg 9 Øe dk gS vkSj 0 ('kwU;) vkO;wg Hkh mlh Øe dk gS rks
0 4 ,
tgk¡_ 0
('kwU;) vkO;wg dk ;ksx rRled vo;o
#
gSA
" ;fn
,d vkO;wg 9 Øe dk gS vkSj
0 2
, 4 gks] rks 2
vkO;wg
vkO;wg dk ;ksx O;qRØe

gksrk gSA
nks vkO;wgksa dk vUrj 9 - 2 /" -

, . / 1 , . / rks nks vkO;wgksa dk vUrj
2 - og vkO;wg gS ftlesa ;fn

, . / ;fn , ,

vFkkZr~ , 0 2