Let a, b, c be real numbers, a ≠ 0. If α is a root of a^2x^2 + bx + c = 0, β is the root of a^2x^2 - bx - c = 0 and 0 < α < β, then the equation a^2x^2 + 2bx + 2c = 0 has a root γ that always satisfies

Let a, b, c be real numbers, a ≠ 0. If α is a root of… — JEE Main 1989 Mathematics PYQ

1989

Let

a, b, c

be real numbers,

a \neq 0

. If

\alpha

is a root of

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

\beta

is the root of

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

and

0 < \alpha < \beta

, then the equation

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

has a root

\gamma

that always satisfies

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Correct option: D

[1989]

Practise Complex Numbers and Quadratic Equations the way it is asked

A timed set of real JEE Main Complex Numbers and Quadratic Equations questions, graded as the exam grades. No sign-up.