Q65 / 180 · COMEDK 2019 · Mathematics

The tangents drawn at the extremities of a focal chord of the parabola $y^{2}=16 x$

  • A
    intersect on $x=0$
  • Correct answer
    B
    intersect on the line $x+4=0$
  • C
    intersect at an angle of $60^{\circ}$
  • D
    intersect at an angle of $45^{\circ}$

Solution

The tangent at the extremities of a focal chord of a parabola intersect at right angles on the directrix. Now, equation of parabola is $y^{2}=16 x$. So, its directrix is $x=-4$ or $x+4$. So, tangent intersect on the line $x+4=0$.

Hence, the correct answer is option: 'B'.

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