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If a focal chord of y^(2)=4ax makes an a...

If a focal chord of `y^(2)=4ax` makes an angle `alphain[pi//4,pi//2]` with the positive direction of the x-axis, then find the maximum length of this focal shord.

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The correct Answer is:
8a units
The length of focal chord making an angle `alpha` with the x-axis is `4a" cosec"^(2)alpha`. For `alphain[pi//4,pi//2]`, its maximum length is `4axx2=8a` units.
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