Question

What is the equation of the directrix of the parabola x^2 = 12y?

Answer 1

Step-by-step explanation:

Comparing the given equation with the standard equation x^2=-4ay

we get a=3

co-ordinates of focus =(0,-a)=(0,-3)

equation of directrix is y=a i.e. y=3

length of latus rectum=4a=12

co-ordinates of latus rectum=(-2a,a)and (2a,a) i.e. (-6,3) and (6,3)