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).