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Quadratic Equation and Inequalities question

2018 · 16 Apr · Shift 1 · Q37

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2018 · 16 Apr · Shift 1 · Q37

Quadratic Equation and Inequalities question

2018 · 16 Apr · Shift 1 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let p, q and r be real numbers (p

e

q, r

e

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 :

A
${{{p^2} + {q^2}} \over 2}$
B
p2 + q2
C
2(p2 + q2)
D
p2 + q2 + r2

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