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Latus Rectum

The length of...

Question

The length of the latus rectum of the parabola whose focus is (3,0) and directrix is 3x-4y-2=0 is

A

12

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B

1

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C

4

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D

none of these

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Solution

The correct option is A 12
focus $\equiv (a, 0)$ . $f \equiv (3, 0)$
$∴ a = 3$

Length of latus rectum $= 4 a$
$= 4 \times 3$
$= 12$ cm

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