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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(a t^2,2a t)` of the parabola `y^2=4a x` made by the circle described on the line joining the focus and `P` as diameter is `asqrt(1+t^2)` .

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The correct Answer is:
`asqrt(1+t^(2))`
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