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

question 29

Multiple Choice

Write the equation of the ellipse that has its center at the origin, focus at $( 1,0 )$ and $\frac { 3 } { 4 }$ is one-half the length of the minor axis.

• A) \(\quad \frac { 16 x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\quad \frac { 16 x ^ { 2 } } { 25 } + \frac { 16 y ^ { 2 } } { 9 } = - 1\)
• C) \(\quad \frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 9 } = 1\)
• D) \(\quad \frac { 4 x ^ { 2 } } { 3 } + \frac { 4 y ^ { 2 } } { 7 } = 1\)
• E) \(\quad \frac { 16 x ^ { 2 } } { 25 } + \frac { 16 y ^ { 2 } } { 9 } = 1\)

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