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Quadratic Equation and Inequalities question

2024 · 1 Feb · Shift 2 · Q37

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2024 · 1 Feb · Shift 2 · Q37

Quadratic Equation and Inequalities question

2024 · 1 Feb · Shift 2 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha

and

\beta

be the roots of the equation

p x^2+q x-r=0

, where

p eq 0

. If

p, q

and

r

be the consecutive terms of a non constant G.P. and

\frac{1}{\alpha}+\frac{1}{\beta}=\frac{3}{4}

, then the value of

(\alpha-\beta)^2

is :

A
8
B
9
C
$\frac{20}{3}$
D
$\frac{80}{9}$

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