Find an Equation for the Ellipse with Center at the Origin

question 13

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

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