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 $ .