Find the Center, Vertices, and Foci of the Ellipse with the Given

question 115

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- $$9 x ^ { 2 } + 3 y ^ { 2 } = 27$$

• A) Center: \(( 0,0 )\); Vertices: \(( - 9,0 ) , ( 9,0 ) ;\) Foci: \(( - 6 \sqrt { 2 } , 0 ) , ( 6 \sqrt { 2 } , 0 )\)
• B) Center: \(( 0,0 )\); Vertices: \(( 0 , - 3 ) , ( 0,3 ) ;\) Foci: \(( 0 , - \sqrt { 6 } ) , ( 0 , \sqrt { 6 } )\)
• C) Center: \(( 0,0 )\); Vertices: \(( - 3,0 ) , ( - 3,0 ) ;\) Foci: \(( - \sqrt { 6 } , 0 ) , ( \sqrt { 6 } , 0 )\)
• D) Center: \(( 0,0 )\); Vertices: \(( 0 , - 9 ) , ( 0,9 )\); Foci: \(( 0 , - 6 \sqrt { 2 } ) , ( 0,6 \sqrt { 2 }\),

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