Find the Center, Foci, and Vertices of the Ellipse $$9 x ^ { 2 } + 4 y ^ { 2 } = 36$$

question 151

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- $$9 x ^ { 2 } + 4 y ^ { 2 } = 36$$

• A) center at \(( 0,0 )\)
• foci at \(( 0,3 )\) and \(( 2,0 )\)
• vertices at \(( 0,9 )\) and \(( 4,0 )\)
• B) center at \(( 0,0 )\)
• foci at \(( 0 , - \sqrt { 5 } )\) and \(( 0 , \sqrt { 5 } )\)
• vertices at \(( 0 , - 3 ) , ( 0,3 )\)
• C) center at \(( 0,0 )\)
• foci at \(( 0 , - 3 )\) and \(( 0,3 )\)
• vertices at \(( 0 , - 9 ) , ( 0,9 )\)
• D) center at \(( 0,0 )\)
• foci at \(( - \sqrt { 5 } , 0 )\) and \(( \sqrt { 5 } , 0 )\)
• vertices at \(( - 3,0 ) , ( 3,0 )\)

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