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

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

A

`-(1)/(t)`

B

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

C

`(1)/(t)`

D

`(t^2-1)/(t)`

Text Solution

Verified by Experts

The correct Answer is:
D
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