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Prove that the length of the intercept o...

Prove that the length of the intercept on the normal at the point `P(at^(2),2at)` of a parabola `y^(2)=4ax` made by the circle described on the line joining the focus and P as diameter is `asqrt(1+t^(2))`.

A

`a(1+t^2)`

B

`asqrt(1+t^2)`

C

`sqrt(a(1+t^2))`

D

None of these

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The correct Answer is:
B
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