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JEE Math Practice Question

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 :

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

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