Find the Vertices and Locate the Foci for the Hyperbola $25 \mathrm { y } ^ { 2 } - 9 \mathrm { x } ^ { 2 } = 225$

question 111

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $25 \mathrm { y } ^ { 2 } - 9 \mathrm { x } ^ { 2 } = 225$

• A) vertices: \(( 0 , - 3 ) , ( 0,3 )\)
• foci: \(( 0 , - \sqrt { 34 } ) , ( 0 , \sqrt { 34 } )\)
• B) vertices: \(( - 3,0 ) , ( 3,0 )\)
• foci: \(( - \sqrt { 34 } , 0 ) , ( \sqrt { 34 } , 0 )\)
• C) vertices: \(( - 5,0 ) , ( 5,0 )\)
• foci: \(( - 4,0 ) , ( 4,0 )\)
• D) vertices: \(( 0 , - 5 ) , ( 0,5 )\)
• foci: \(( 0 , - \sqrt { 34 } ) , ( 0 , \sqrt { 34 } )\)

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