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Find the Center, Foci, and Vertices of the Ellipse 36x2+9y2=32436 x ^ { 2 } + 9 y ^ { 2 } = 324

Question 97

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- 36x2+9y2=32436 x ^ { 2 } + 9 y ^ { 2 } = 324


A) center at (0,0) ( 0,0 )
foci at (33,0) ( - 3 \sqrt { 3 } , 0 ) and (33,0) ( 3 \sqrt { 3 } , 0 )
vertices at (6,0) ,(6,0) ( - 6,0 ) , ( 6,0 )
B) center at (0,0) ( 0,0 )
foci at (0,6) ( 0 , - 6 ) and (0,6) ( 0,6 )
vertices at (0,36) ,(0,36) ( 0 , - 36 ) , ( 0,36 )
C) center at (0,0) ( 0,0 )
foci at (0,33) ( 0 , - 3 \sqrt { 3 } ) and (0,33) ( 0,3 \sqrt { 3 } )
vertices at (0,6) ,(0,6) ( 0 , - 6 ) , ( 0,6 )
D) center at (0,0) ( 0,0 )
foci at (0,6) ( 0,6 ) and (3,0) ( 3,0 )
vertices at (0,36) ( 0,36 ) and (9,0) ( 9,0 )

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