Conic Sections Question 506

Question: Focus and directrix of the parabola $ x^{2}=-8ay $ are

[RPET 2001]

Options:

A) $ (0,\ -2a)\ and\ y=2a $

B) $ (0,\ 2a)\ and\ y=-2a $

C) $ (2a,\ 0)\ and\ x=-2a $

D) $ (-2a,\ 0)\ and\ x=2a $

Show Answer

Answer:

Correct Answer: A

Solution:

Given equation is $ x^{2}=-8ay. $ Here $ A=2a $

Focus of parabola $ (0,-A) $ i.e. (0, - 2a) Directrix y = A i.e., y = 2a.