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Let the tangents to the parabola y 2 = 4 a x drawn from point P have slope m 1 and m 2 . If m 1 m 2 = 2 , then the locus of point P is

Options

  1. Ax = a
  2. Bx = a 2
  3. Cx + a = 0
  4. Dx = 2 a

Correct answer

B. x = a 2

Step-by-step solution

Let co-ordinates of P be h , k and equation of the tangent is y = m x + a m Now, h m 2 - k m + a = 0 m 1 m 2 = a h = 2 (given) Hence, the locus is x = a 2

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