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Let a,r,s and t be non-zero real numbers...

Let a,r,s and t be non-zero real numbers. Let `P(at^2 2at),Q(a/t^2,(-2a)/t),R(ar^2,2ar)` and `S(as^2,2as)` be distince points on the parabola `y^2=4ax` .Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is the point (2a,0).
The value of r is

A

`((t^2+1)^2)/(2t^3)`

B

`(a(t^2+1)^2)/(2t^3)`

C

`(a(t^2+1)^2)/(t^3)`

D

`(a(t^2+2)^2)/(t^3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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