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JEE Math Practice Question

If p and q are the lengths of the perpendiculars from the origin on the lines, x cosec $$\alpha$$ $$-$$ y sec $$\alpha$$ = k cot 2$$\alpha$$ and x sin$$\alpha$$ + y cos$$\alpha$$ = k sin2$$\alpha$$ respectively, then k2 is equal to :

  1. A.4p2 + q2
  2. B.2p2 + q2
  3. C.p2 + 2q2
  4. D.p2 + 4q2

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