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

Question

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

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.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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.

5 views Answered 2023-02-05 15:29