JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

Let

a, b

and

c

be real numbers,

a \neq 0

. If

\alpha

is a root of

a^2 x^2+b x+c=0, \beta

is the root of

a^2 x^2-b x-c=0

and

0 < \alpha < \beta

, then the equation

a^2 x^2+2 b x+2 c=0

has

a

root

\gamma

that always satisfies

View answer and explanation

Correct option: D

\alpha < \gamma < \beta

Option D is correct because f(alpha)f(beta) < 0, implying a root lies between alpha and beta.

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