Let p, q and r be real numbers (p … q, r … 0), such that the roots of the equation … are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :

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Quadratic Equation and Inequalities

JEE Main 2018 · 16 Apr, Morning shift · Q5129

MathematicsMedium129×since 2002Q5129

Let p, q and r be real numbers (p

\ne

q, r

\ne

0), such that the roots of the equation

{1 \over {x + p}} + {1 \over {x + q}} = {1 \over r}

are equal in magnitude but opposite in sign, then the sum of squares of these roots is equal to :