Page 336 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math21-1 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 laosQrµmnkgj.k 6 dh Hkk¡fr lafØ;k;sa 5 rFkk yxkb;sA

mnkgj.k 9- fl¼ dhft;s fdµ
a b c

a 2 b 2 c 2
c 3 b 3 c 3
gy %
esa
esa rFkk
esa mHk;fu"B gS]

1 1 1
∴ lkjf.kd 4 a b c

a 2 b 2 c 2
vkxs mnkgj.k 7 dk gy nsf[k,

mnkgj.k 10- fl¼ dhft;s fdµ
1 1 1
a b c
a 3 b 3 c 3

gy % fn;k gqvk lkjf.kd
0 0 0
4 a − b − b c c ,
5
o
5
ls

a 3 − 3 b 3 − a c 3 c 3

a − b b − c
4 , osQ lkis{k foLrkj djus ij
a − 3 b 3 b − 3 c 3

1 1
4 5 5
a + 2 ab + b 2 b + 2 bc + c 2

4 5 5 < 3 3 5 3 3 =

4 5 5 < 3 5 5 =
4 5 5 < 5 3 5 3 =
4 5 5 3 3
mnkgj.k 11- fl¼ dhft;s fdµ
1 a a 2 − bc 1 1 1
1 b b 2 − ca $ vFkok a b c $
1 c c 2 − ab a 2 − b 2 − bc c 2 − ca ab

1 a a 2 − bc

gy % > ? 0 b − 2 − a 2 −b ca +a bc 7 5 rFkk 5 ls

c − 0 2 − a 2 −c ab +a bc