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KCET2008MathematicsParabola

The tangents drawn at the extremeties 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

Given equation is y²=16 x Here, a=4 As we know, that if tangents are drawn from an external points of a focal chord, then it will intersect on the directrix of the parabola. Equation of directrix is x=-4 or x+4=0 Which is the required equation.

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