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Length of the focal chord of the parabol...

Length of the focal chord of the parabola `y^2=4ax` at a distance p from the vertex is:

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Verified by Experts

In the figure, OM = b = distance of focal chord PQ make an angle `theta` with positive x-axis.
`:." "PQ=4acosec^(2)theta`
Now, in right angled triangle OMS,
`sintheta=OM//OS=b//a`
`:." "PQ=4a(a//b)^(2)=4a^(3)//b^(2)`
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