If the angle between the tangents from the point ( ,1) to the parabola y^2=16x be 2 then is

JEE Advanced Mathematics question

If the angle between the tangents from the point to the parabola be then is

Answer: (B)

Perpendicular tangents to a parabola meet on its directrix. For we have , so and the directrix is . Hence .

*Via the pair of tangents (book's method):* gives

-16x)(1-16λ)=\{y-8(

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Question ID VK-110065