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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 272 \sqrt { 7 } , minor axis of length 232 \sqrt { 3 }
, and whose foci lie on the yy
Axis


A) x23+y27=1\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 7 } = 1

B) x212+y214=1\frac { x ^ { 2 } } { 12 } + \frac { y ^ { 2 } } { 14 } = 1

C) x214+y212=1\frac { x ^ { 2 } } { 14 } + \frac { y ^ { 2 } } { 12 } = 1

D) x27+y23=1\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 3 } = 1

E) none of these

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