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If the pair of straight lines x^2-2 p x y-y^2=0 and x^2-2 p x y-y^2=0 be such that each pair bisects the angle between the other pair, then

Options

  1. Ap q=-1
  2. Bp = q
  3. Cp=-q
  4. Dpq =1

Correct answer

A. p q=-1

Step-by-step solution

Equation of bisector of both pair of straight lines, p x^2+2 x y-p y^2=0 q x^2+2 x y-q y^2=0 From (1) and (2). q 1 = 2 -2 p = - q -1 pq =-1

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