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TS EAMCET · Maths · Parabola

If two tangents to the parabola y2=8x meet the tangent at its vertex in M and N such that MN=4, then the locus of the point of intersection of those two tangents is

  1. A y2=8x+3
  2. B y2=8x-2
  3. C y2=8x+2
  4. D y2=4x+2
Verified Solution

Answer & Solution

Correct Answer

(C) y2=8x+2

Step-by-step Solution

Detailed explanation

Given parabola is y2=8x. Comparing with y2=4ax, we get 4a=8 ⇒a=2 Let the parametric co-ordinates of P & Q be at12, 2at1 & at22, 2at2 respectively. So, equation of tangent at P is yt1=x+2t12 ...........i and the equation of tangent…