Page 126 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math7-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

vFkZ'kkfL=k;ksa dk xf.kr

uksV Lo&ewY;kadu

1- fjDr LFkkuksa dh iwfrZ djsa ..
.
<
µ
---------
1- vFkZ'kkL=k esa vf/drj iz;ksx gksus okys ,d fo'ks"k izdkj osQ iQyu dks iQyu dgrs gSaA
---------
2- izes; le:i iQyu dh lgk;rk ls lhekUr mRikndrk osQ fl¼kar esa ,d fo'ks"k laca/ dks crkrh
gSa
----------
3- ;wylZ izes; dk {ks=k esa fo'ks"k egÙoiw.kZ LFkku gSA
---------
4- fofHkUu lk/uksa osQ la;qDr la;ksx ls gksrk gSA
---------
5- ;fn mRiknu iQyu gksrh gS rks gesa ;g crkrk gS fd izR;sd lk/u dks mldh lhekUr mRikndrk
osQ cjkcj iqjLdkj izkIr gksuk pkfg, rkfd oqQy mRiknu iw.kZ :i ls ifjlekIr gks tk,xkA

7-3 dkWc&MksXyl mRiknu iQyu ' ( $
)

dkWc&MksXyl mRiknu iQyu dk vkfFkZd {ks=k esa O;kid :i ls iz;ksx fd;k tkrk gSA bl mRiknu iQyu osQ
izfriknu dk Js; lh-MCY;w- dkWc / = / rFkk Mh- ,p- MksXyl dks fn;k tkrk gSA mUgksaus bl iQyu dk
vuqeku yxkus osQ fy, fo'o osQ fofHkUu m|ksxksa dk vè;;u fd;kA bl izdkj bldk iz;ksx mRiknu osQ lkekU;
fu;e >

. . # osQ :i esa fd;k tkrk gSA

D;k vki tkurs gSa dkWc&MksXyl mRiknu iQyu dks lkekU; :i esa fuEu izdkj ls n'kkZ;k tkrk gSµ

β
α
# ( $ !
tgk¡ ( mRiknu] ( Je lk/u] ( iw¡th lk/u] ! ( =kqfV
6
rFkk $ ,d fLFkj jkf'k gSA

α rFkk β /ukRed izkpy 1
gSaA blosQ lkFk α ? +) β ? +) 9 ? + rFkk α , β ( gksrk gSA

oqQN vFkZ'kkL=kh bl mRiknu iQyu dks ! osQ fcuk Hkh n'kkZrs gSaA
β
α
( $ α ? +) β ? +
;fn α , β (
dkWc&MksXyl mRiknu iQyu esa nks mRifÙk osQ lk/u gksrs gSa vFkkZr~
(

;fn nksuksa rjiQ fdlh fLFkj λ 9 ls xq.kk dj fn;k tk;s rks
λ ( λ
λ
α
β
rc] λ
λ ( $ λ λ !
α
β
λ α β $ !
α
β
( λ α , β (pwafd ( $ !
;fn α , β ( ) rc mRiknu iSekus osQ fLFkj izfriQy osQ varxZr gksxkA