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Given a parabola y^(2) = 4ax and the poi...

Given a parabola `y^(2) = 4ax` and the points `A(a t^(2),2at), B(a t^(-2),2a t^(-1)), C ((4a)/(t^(2)),(4a)/(t))D (a(t+(2)/(t))^(2),-2a (t+(2)/(t)))` choose all the correct alternative.

A

AB is a focal chord

B

AD is a normal chord

C

Normals at A,C intersect on the parabola

D

Tangents at A,B intersect at `90^(@)` on the directrix.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
AB is focal chord, tangents at which to the parabola intersect on dirextrix. AD is normal chord of the parabola.
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