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If the parabola y^2=4a x\ passes throug...

If the parabola `y^2=4a x\ ` passes through the point `(3,2)` then find the length of its latus rectum.

A

`2/3`

B

`4/3`

C

`1/3`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
Given that, parabola is
`y^(2)=4ax`
`therefore` Length of latusrectum=4a
Since, the parabola passes through the point (3,2)
Then, 4=4a(3)
`rArr a=1//3`
`therefore` 4a=4/3
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