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

Question 536

Multiple Choice

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


A) (x5) 2225+(y5) 2200=1\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1
B) x2225(y5) 2200=1\frac { x ^ { 2 } } { 225 } - \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1
C) (x5) 2225+y2200=1\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { y ^ { 2 } } { 200 } = 1
D) (x5) 2225+(y+5) 2200=1\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1
E) (x+5) 2225+(y+5) 2200=1\frac { ( x + 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1

Correct Answer:

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