Page 165 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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E\L-LOVELY-H\math9-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ mfPp"B vkSj fufEu"B % ,d pj

vr% fcUnq & (ftlosQ fy, ( ) ij dk eku] vFkkZr~ ) & osQ ck;sa ;k nk;sa izR;sd fcUnq ij osQ uksV
laxr ekuksa] vFkkZr~ * " vkSj , " ls NksVk gSA

fcUnq ( ij iQyu fufEu"B dgykrk gS] ;fn
* " ? @ , "

vFkkZr~ ( ij dk eku ) ck,¡ rFkk nk,¡ fLFkr fudVre fcUnqvksa ij mlosQ ekuksa * " rFkk

, " nksuksa ls NksVk gSA
fdlh iQyu osQ mfPp"B eku - D dk ;g vFkZ ugha gS fd og mldk lcls cM+k eku gS rFkk u
fufEu"B eku dk ;g vFkZ gS fd og lcls NksVk eku gSA fdlh iQyu osQ cgqr ls mfPp"B rFkk fufEu"B eku
gks ldrs gSa vkSj ;g lEHko gS fd ,d mfPp"B eku nwljs fufEu"B eku ls NksVk gksA $ ij iQyu ;k dksfV dk
mfPp"B eku gS] bldk vFkZ osQoy ;g gS fd bl fcUnq osQ vklikl okys nksuksa vksj osQ fcUnqvksa ls bldk eku
lcls vf/d gS rFkk blh izdkj fcUnq & ij iQyu ;k dksfV dk eku fufEu"B
gS] bldk vFkZ
osQoy ;g gS fd bl fcUnq osQ vklikl okys nksuksa fcUnqvksa ls bl fcUnq ij dksfV dk eku lcls de gSA

9-3 mfPp"B rFkk fufEu"B Kkr djus osQ izfrcU/
'

+ ,
+

fdlh fcUnq ( ij iQyu ( osQ mfPp"B vFkok fufEu"B eku Kkr djus osQ izfrcU/ fuEu gSaµ
vfuok;Z izfrcU/ 2 /

mfPp"B D rFkk fufEu"B
nksuksa gh osQ fy, vfuok;Z izfrcU/ fuEu gSµ

dy

vFkok
dx

i;kZIr izfrcU/ ,,

/
mfPp"B D rFkk fufEu"B
osQ fy;s i;kZIr izfrcU/ fuEu izdkj gSaµ

mfPp"B . 1
. . osQ fy,%

2
d y
ij dk eku Í.kkRed jkf'k
dx 2
fufEu"B .

. . osQ fy,%
2
d y
ij dk eku /ukRed jkf'k
dx 2

Lo&ewY;kadu

1- fjDr LFkkuksa dh iwfrZ djsa ..
.
<
µ
---------
1- xf.kr dk ,d eq[; mi;ksx fdlh osQ mfPp"B vkSj fufEu"B eku Kkr djus esa gksrk gSA
---------
2- fdlh iQyu osQ cgqr ls mfPp"B vkSj eku gks ldrs gSaA