Question

Find the coordinate of focus equation of directrix langth of latus Rectum and coordinate of end front of latus Rectum for the parabola.
$x^2+12y=0$

Answer 1

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)