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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).
If st=1, then the tangent at P and the normal at S to the parabola meet at a point whose ordinate 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

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The correct Answer is:
B
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