If the roots of the equation are equal in magnitude but opposite in sign

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

If the roots of the equation

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

are equal in magnitude but opposite in sign, then the product of the roots is: (a)

-2(p^2 + q^2)

(b)

-(p^2 + q^2)

(c)

-\frac{(p^2 + q^2)}{2}

(d)

-pq