Find an Equation for the Ellipse with Center at the Origin

Multiple Choice

Find an equation for the ellipse with center at the origin, major axis of length $2 \sqrt { 7 }$ , minor axis of length $2 \sqrt { 3 }$
, and whose foci lie on the $y$
-axis

A) $\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 7 } = 1$

B) $\frac { x ^ { 2 } } { 12 } + \frac { y ^ { 2 } } { 14 } = 1$

C) $\frac { x ^ { 2 } } { 14 } + \frac { y ^ { 2 } } { 12 } = 1$

D) $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 3 } = 1$

E) none of these