Question

Find the center, vertices, and foci of the ellipse with equation

Answer 1

note major axis(lies on y axis for this problem) here is a= 15 ,minor axis is b=9
so , vertices are( 9,0 ) ,(-9,0),(12,0),(-12,0)
centre 0,0
e=root(a^2-b^2)/a=12/15=4/5
foci = (0,15*4/5) , (0,-15*4/5) ie (0,12) (0,-12)