Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the center of the circle through the points P, A and B and ∠CPB=θ then a value of tanθ is

Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the center of the circle through the points P, A and B and CPB=θ then a value of tanθ is

  1. A

    4/3

  2. B

    1/2

  3. C

    2

  4. D

    3

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    Solution:

    The equation of tangent at P(16, 16) is

    x2y+16=0

    The equation of normal at

    P(16,16) is