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NDA Math Quadratic Equations and Inequations
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© examsnet.com
Question : 48
Total: 67
The sum of the roots of the equation
x
2
+
b
x
+
c
=
0
(where b and c are non-zero) is equal to the sum of the recipients of their squares. Then
1
c
,
b
,
c
b
are in
[NDA I 2017]
AP
GP
HP
None of the above
Validate
Solution:
−
b
=
b
2
−
2
c
c
2
⇒
b
c
2
=
b
2
−
2
c
⇒
b
2
+
b
c
2
⇒
2
c
b
=
b
+
c
2
⇒
2
b
=
b
c
+
c
⟹
c
,
1
b
,
b
c
∈
A
P
⇒
1
c
,
b
,
c
b
∈
H
.
P
© examsnet.com
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