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COMEDK2019MathematicsParabola

The tangents drawn at the extremities of a focal chord of the parabola y²=16 x

Options

  1. Aintersect on x=0
  2. Bintersect on the line x+4=0
  3. Cintersect at an angle of 60^
  4. Dintersect at an angle of 45^

Correct answer

B. intersect on the line x+4=0

Step-by-step 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 y²=16 x . So, its directrix is x=-4 or x+4 . So, tangent intersect on the line x+4=0 .

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