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If P is a point on the parabola y 2 = 8 x and A is the point (1, 0), then the locus of the midpoint of the line segment AP is

Options

  1. Ay 2 = 4 x - 1 2
  2. By 2 = 2 2 x + 1
  3. Cy 2 = x - 1 2
  4. Dy 2 = 2 x + 1

Correct answer

A. y 2 = 4 x - 1 2

Step-by-step solution

α = 2 x 1 - 1 , β = 2 y 1 β 2 = 8 α 4 y 2 = 4 x - 2 y 2 = 4 x - 1 2

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