113542
Unique Id: 102963
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DIRECTIONS
for the question:
Solve the following question and mark the best possible option.
If a, b and c are the roots of the equation x
3
+ px
2
+ qx + r = 0, then what is the value of
A)
B)
C)
D)
E)
C
a+b+c = -p ............................ 1
ab + bc +ca = q .............................2
abc = -r ............................3
Squaring 2, we get:
a
2
b
2
+ b
2
c
2
+ c
2
a
2
+ 2ab
2
c + 2a
2
bc + 2abc
2
= q
2
Dividing this by a
2
b
2
c
2
1/a
2
+ 1/b
2
+ 1/c
2
+ 2/ab + 2/bc+2/ac = q
2
/ a
2
b
2
c
2
1/a
2
+ 1/b
2
+ 1/c
2
= q
2
/a
2
b
2
c
2
- (2/ab + 2/bc+2/ac)
Solving, we get
1/a
2
+ 1/b
2
+ 1/c
2
=
Question include in Following Tests :
WIN IBSAT 06 (2024)
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