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The angle between the tangents to the pa...

The angle between the tangents to the parabola `y^2=4a x` at the points where it intersects with the line `x-y-a=0` is (a)`pi/3` (b) `pi/4` (c) `pi` (d) `pi/2`

A

`pi//3`

B

`pi//4`

C

`pi//6`

D

`pi//2`

Text Solution

Verified by Experts

(4) The coordinates of the focus of the parabola `y^(2)=4ax` are (a,0).
the line y-x-a=0 passes through this point. Therefore, it is a focal chord of the parabola. Hence, the tangent intersects at right angle.
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