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Question: If the parabola y<sup>2</sup> = 4ax passes through (–3, 2), then length of its latus rectum is...

If the parabola y2 = 4ax passes through (–3, 2), then length of its latus rectum is

A

2/3

B

1/3

C

4/3

D

4

Answer

4/3

Explanation

Solution

y2 = 4ax

passes through (–3, 2) ̃ 4 = 4a (–3)

\ latus rectum 4a = 43\left| \frac{4}{- 3} \right| = 43\frac{4}{3}