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Find the Center, Foci, and Vertices of the Ellipse (x1)236+(y+2)29=1\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1

Question 66

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- (x1) 236+(y+2) 29=1\frac { ( x - 1 ) ^ { 2 } } { 36 } + \frac { ( y + 2 ) ^ { 2 } } { 9 } = 1


A) center at (1,2) ( 1 , - 2 )
foci at (1+33,1) ,(133,1) ( 1 + 3 \sqrt { 3 } , 1 ) , ( 1 - 3 \sqrt { 3 } , 1 )
vertices at (6,2) ,(6,2) ( 6 , - 2 ) , ( - 6 , - 2 )

B) center at (2,1) ( - 2,1 )
foci at (2+33,1) ,(233,1) ( - 2 + 3 \sqrt { 3 } , 1 ) , ( - 2 - 3 \sqrt { 3 } , 1 )
vertices at (5,2) ,(7,2) ( - 5 , - 2 ) , ( 7 , - 2 )

C) center at (1,2) ( 1 , - 2 )
foci at (33,2) ,(33,2) ( - 3 \sqrt { 3 } , - 2 ) , ( 3 \sqrt { 3 } , - 2 )
vertices at (6,2) ,(6,2) ( 6 , - 2 ) , ( - 6 , - 2 )

D) center at (1,2) ( 1 , - 2 )
foci at (1+33,2) ,(133,2) ( 1 + 3 \sqrt { 3 } , - 2 ) , ( 1 - 3 \sqrt { 3 } , - 2 )
vertices at (5,2) ,(7,2) ( - 5 , - 2 ) , ( 7 , - 2 )

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