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If the length of focal chord of y^2=4a x...

If the length of focal chord of `y^2=4a x` is `l ,` then find the angle between the axis of the parabola and the focal chord.

Text Solution

Verified by Experts

The correct Answer is:
`pmsin^(-1)sqrt((4a)/(l))`
The length of focal chord inclined at angle `theta` with the positive x-axis is `4a" cosec"^(2)theta`.
Given the length of focal chord is l. Then,
`4a" coses"^(2)theta=l`
`:." "theta=pmsin^(-1)sqrt((4a)/(l))`
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