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

Question

x^2/9+y^2/16=1

Answer 1

centre is clearly (0,0)

a^=9 , b^2=16
so the major axis is along the y-axis
vertices: (0,4), (0,-4), (3,0), and (-3,0)

focal points:
c^2 + 3^2 = 4^2
c = ±√7

foci: (0,√7), and (0,-√7)