Page 331 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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E\L-LOVELY-H\math21-1 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 lkjf.kd % izdkj ,oa xq.k&/eZ

21-5 lg&[k.M
uksV

tSlk Åij crk;k x;k gS fd fdlh vo;o dk milkjf.kd Kkr djrs le; fpÉ ij fopkj ugha fd;k tkrk gSA

vc ;fn vo;oksa osQ milkjf.kdksa osQ fpÉksa ij Hkh fopkj fd;k tk;s rks os mu vo;oksa osQ lg&[k.M

cu tkrs gSa ftUgsa cM+s v{kjksa
7
7
7 ls iznf'kZr fd;k tkrk gSA

Li"V gS fd milkjf.kd vkSj lg&[k.M esa osQoy fpÉ dk vUrj gksrk gS tcfd nksuksa osQ eku cjkcj
gksrs gSaA
lg&[k.M dh fuEufyf[kr ifjHkk"kk nh xbZ gSµ
vo;o dk lg&[k.M

tgk¡ lkjf.kd dh oha iafDr rFkk osa LrEHk dk vo;o gS rFkk 7 vo;o dk milkjf.kd gSA

b c
dk 4 2 2 = C
b 3 c 3 1
b c
dk 4 5 b 1 3 c 1 3 = C 2

b c
dk 4 1 1 = C
b 2 c 2 3

vr% lehdj.k ls] fn;k gqvk lkjf.kd 4
3
3

21-6 lkjf.kdksa osQ xq.k&/eZ

lkjf.kd osQ xq.k&/eZ uhps fn;s x;s gSaA bu xq.kksa dh lgk;rk ls lkjf.kd iz'uksa dks ljyrkiwoZd gy fd;k tk
ldrk gSA lkjf.kd osQ xq.k fuEu izdkj gSaµ
1- ;fn fdlh lkjf.kd dh lHkh iafDr;ksa
rFkk lHkh LrEHkksa
dks vkil esa cny fn;k
tk;s] rks lkjf.kd osQ eku esa dksbZ ifjorZu ugha gksrk gSA

2- ;fn lkjf.kd esa nks yxkrkj ;k vklUu ;
iafDr;ksa vFkok LrEHkksa dks ijLij cny fn;s tk;s]
rks lkjf.kd dk la[;kRed eku ogh jgrk gS] ijUrq fpÉ cny tkrk gSA
3- ;fn fdlh lkjf.kd dh dksbZ nks iafDr;ksa
vFkok LrEHk
osQ lHkh vo;o
#

fdlh ,d gh jkf'k osQ xq.ku ) ! gksa rks ewy lkjf.kd dh ml jkf'k ls xq.kk
gks tkrh gSA
4- bl xq.k lEcfU/r fuEufyf[kr nks fu;e fo'ks"k è;ku nsus ;ksX; gSaµ

;fn lkjf.kd dh fdlh ,d gh iafDr vFkok LrEHk esa dksbZ jkf'k mHk;fu"B
gks]
rks mls ,d xq.ku[k.M 1 osQ :i esa lkjf.kd ls ckgj ys ysrs gSaA
mnkgj.kkFkZµ
ma 1 mb 1 mc 1 a 1 b 1 c 1
a 2 b 2 c 2 4 ma 2 b 2 c 2
a 3 b 3 c 3 a 3 b 3 c 3