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Find the Standard Form of the Equation of the Ellipse (1,3)( 1 , - 3 )

Question 125

Multiple Choice

Find the standard form of the equation of the ellipse satisfying the given conditions.
-Endpoints of major axis: (1,3) ( 1 , - 3 ) and (1,7) ( 1,7 ) ; endpoints of minor axis: (3,2) ( - 3,2 ) and (5,2) ( 5,2 ) ;


A) (x1) 216+(y2) 225=1\frac { ( x - 1 ) ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 25 } = 1
B) (x4) 216+(y5) 225=1\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1
C) (x+1) 216+(y+2) 225=1\frac { ( x + 1 ) ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1
D) (x2) 216+(y1) 225=1\frac { ( x - 2 ) ^ { 2 } } { 16 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1

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