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JEE Math Practice Question

The lines $$p\left( {{p^2} + 1} \right)x - y + q = 0$$ and $$\left( {{p^2} + 1} \right){}^2x + \left( {{p^2} + 1} \right)y + 2q$$ $$=0$$ are perpendicular to a common line for :

  1. A.exactly one values of $$p$$
  2. B.exactly two values of $$p$$
  3. C.more than two values of $$p$$
  4. D.no value of $$p$$

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