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JEE Math Practice Question

A tangent and a normal are drawn at the point P(2, $$-$$4) on the parabola y2 = 8x, which meet the directrix of the parabola at the points A and B respectively. If Q(a, b) is a point such that AQBP is a square, then 2a + b is equal to :

  1. A.$$-$$16
  2. B.$$-$$18
  3. C.$$-$$12
  4. D.$$-$$20

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