Conic Sections Question 495

Question: A parabola passing through the point $ (-4,\ -2) $ has its vertex at the origin and y-axis as its axis. The latus rectum of the parabola is

Options:

A) 6

B) 8

C) 10

D) 12

Show Answer

Answer:

Correct Answer: B

Solution:

Let the equation of parabola is $ x^{2}=4ay $ , but $ a=\frac{4}{-2} $ = $ -2 $ . Then equation is $ x^{2}=-8y $ and latus rectum $ =4a=8 $ .