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AP EAMCET201822 Apr 2018Evening ShiftMathematicsParabolaActual

Let ₁ and ₂ be the ordinates of two points A and B on a parabola y^2=4 a x and let ₃ be the ordinate of the point of intersection of its tangents at A and B . Then, ₃- ₂=

Options

  1. A₃- ₁
  2. B₃+ ₁
  3. C₁
  4. D₁- ₃

Correct answer

D. ₁- ₃

Step-by-step solution

Ordinate of point of intersection of tangents at A and B whose ordinates are ₁ and ₂ is ₁+ ₂ 2 , So, aligned ₃ & = ₁+ ₂ 2 2 ₃ & = ₁+ ₂ ₃- ₂= ₁- ₃ . aligned

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