Write the Equation of the Ellipse That Has Its Center $( 1,0 )$

question 63

Multiple Choice

Write the equation of the ellipse that has its center at the origin, focus at $( 1,0 )$ and $\frac { 7 } { 8 }$ is one-half the length of the minor axis.

• A) \(\quad \frac { 64 x ^ { 2 } } { 113 } + \frac { 64 y ^ { 2 } } { 49 } = 1\)
• B) \(\quad \frac { 64 x ^ { 2 } } { 113 } - \frac { y ^ { 2 } } { 49 } = 1\)
• C) \(\quad \frac { 8 x ^ { 2 } } { 7 } + \frac { 8 y ^ { 2 } } { 15 } = 1\)
• D) \(\frac { x ^ { 2 } } { 113 } + \frac { y ^ { 2 } } { 49 } = 1\)
• E) \(\frac { 64 x ^ { 2 } } { 113 } + \frac { 64 y ^ { 2 } } { 49 } = - 1\)

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