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Question: If the parabola \(y ^ { 2 } = 4 a x\)passes through (–3, 2), then length of its latus rectum is...

If the parabola y2=4axy ^ { 2 } = 4 a xpasses 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

The point y2=4axy ^ { 2 } = 4 a x⇒ 4=−12a4 = - 12 a ⇒ Latus rectum = 4∣a∣=4×∣−13∣=434 | a | = 4 \times \left| - \frac { 1 } { 3 } \right| = \frac { 4 } { 3 }