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The tangent at any point P onthe parabol...

The tangent at any point `P` onthe parabola `y^2=4a x` intersects the y-axis at `Qdot` Then tangent to the circumcircle of triangle `P Q S(S` is the focus) at `Q` is

A

a line parallel to axis

B

y-axis

C

a line parallel to y-axis

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
(2)
Tangent at P intersect the y-axis at `Q-=(0,at)`.
Also, circle with PS as diameter to touches the y-axis at (0,at).
So, the y-axis is the tangent to the circumcircle of `DeltaPQS` at Q.
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