Conic Sections Question 499

Question: If the parabola $ y^{2}=4ax $ passes through (-3, 2), then length of its latus rectum is

[RPET 1986, 95]

Options:

A) 2/3

B) 1/3

C) 4/3

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

The point $ (-3,2) $ will satisfy the equation $ y^{2}=4ax $

therefore $ 4=-12a $

therefore $ 4a=-\frac{4}{3}=\frac{4}{3} $ , (Taking positive sign).