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Selecting Consecutive Terms in A.P

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Question

$I n t h e s t a n d a r d f o r m o f a n e q u a t i o n, a x^{2} + b x + c = 0, b o t h r o o t s o f t h e e q u a t i o n a r e 0 i f$

A

c = 0

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B

b = 0

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C

b = c = 0

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D

a = 0

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Solution

The correct option is C
b = c = 0

Sum of roots:
$\frac{- b}{a}$

Product of roots:
$\frac{c}{a}$ , both zero only if b = c = 0

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Selecting Consecutive Terms in A.P

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