Find the Standard Form of the Equation of the Ellipse $( 15,5 )$

question 64

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Center: $( 15,5 )$ ;a = 3b;Foci: $( 5,5 ) , ( 25,5 )$ ,where a - thr semimajor axis,b - semiminor axis.
​

• A) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1\)
• B) \(\frac { x ^ { 2 } } { 225 } - \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1\)
• C) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { y ^ { 2 } } { 200 } = 1\)
• D) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1\)

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