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

question 97

Multiple Choice

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

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

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