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The tangent and normal at P(t), for all ...

The tangent and normal at `P(t)`, for all real positive `t`, to the parabola `y^2= 4ax` meet the axis of the parabola in `T` and `G` respectively, then the angle at which the tangent at `P` to the parabola is inclined to the tangent at `P` to the circle passing through the points `P, T `and `G` is

A

`cot^(-1)t`

B

`cot^(-1)t^2`

C

`tan^(-1)t`

D

`tan^(-1)t^2`

Text Solution

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The correct Answer is:
C
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