JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

Let

\alpha ,\beta

be the roots of the equation

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

and

\gamma ,\delta

be the roots of the equation

p{x^2} + 2qx + r = 0

. If

\alpha ,\beta ,\gamma ,\delta

are in GP, then

View answer and explanation

Correct option: A

{q^2}ac = {b^2}pr

Option A (

{q^2}ac = {b^2}pr

) is correct because the relationship between the roots of the two quadratic equations, when they are in GP, leads to this condition.

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