Page 308 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

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

noEPk;soh dk rfDs

B'N 1 1 22
12 0 3 71=
−
−
0 1 20
R 2 ftZu 2R 1 i'VB s/ ns/ R 3 ftZu 3R 1 xNkT[D s/
= 12 [13(–20) – 71 (–1)] = 12 [–60 + 71]
= 12 × 11 = 132.
T[dkjoD 5H wkB gsk eo'^

1 0 0
1
2 x 2 1 .
x
( +) y
2
3 1
y
jZb L fdZsk j'fJnk ;kofDe
2
1 x 1

x
2
y
( + ) y 1
Gfjbh gzesh d/ ;kg/y ft;Eko eoB s/
)( + ) y
1 (x − yx
.(x − y 2 ) = =x −
2
y
( + ) y ( + ) y
x
x
T[dkjoD 6H f;ZX eo' fe^
x
1 +yz
1 y z+ x = . 0
1 + y
z
x
1 x ++ z
x
y

x
y
jZb L ;kofDe & 1 y ++ z
x
y
1 z ++ z

C 2 B{z C 3 ftZu i'VB s/
1 1 x
(x= ++ z )1 y

1
y
1 1 z
(x= ++ z )0
×
y

0= [∴ C = C ∴ ∆= 0]
1 3
T[dkjoD 7H f;ZX eo' fe^
1 1 1
a b c = (a − )(bb − )(c − . ) a
c
2
a 2 c 2
b

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