Question 869588
Write an equation of the ellipse with foci at (0,+-12), and vertices at (0,+-13)
Given data shows ellipse has a vertical major axis with center at the origin.
Its standard form of equation: {{{x^2/b^2+y^2/a^2=1}}}, a>b
For given ellipse:
a=13 (distance from center to vertices on the vertical major axis)
a^2=169
c=12 (distance from center to foci on the vertical major axis)
c^2=144
c^2=a^2-b^2
b^2=a^2-c^2=169-144=25
b=5
equation of given ellipse:  {{{x^2/25+y^2/169=1}}}