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JEE Main201815 Apr 2018Evening ShiftMathematicsParabolaActual

Tangents drawn from the point (-8,0) to the parabola y^2=8 x touch the parabola at P and Q . If F is the focus of the parabola, then the area of the triangle P F Q (in sq. units) is equal to

Options

  1. A48
  2. B32
  3. C24
  4. D64

Correct answer

A. 48

Step-by-step solution

Equation of the chord of contact P Q is given by: T=0 or T y y₁-4 (x+x₁ ) , where (x₁, y₁ ) (-8,0) Equation becomes: x=8 & Chord of contact is x=8 Coordinates of point P and Q are (8,8) and (8,-8) and focus of the parabola is F(2,0) Area of triangle P Q F= 1 2 (8-2) (8+8)=48 sq. units

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