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Paragraph: Let P Q be a focal chord of the parabola y²=4 a x . The tangents to the parabola at P and Q meet at a point lying on the line y=2 x+a, a>0 . Question: If chord P Q subtends an angle at the vertex of y²=4 a x , then =

Options

  1. A2 3 7
  2. B- 2 3 7
  3. C2 3 5
  4. D- 2 3 5

Correct answer

D. - 2 3 5

Step-by-step solution

t - 1 t = - 1 ⇒     t + 1 t = 5 tan  θ = 2 t + 2 t 1 - 4 = 2  1 t + t - 3 = 2 5 - 3

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