Find the Center, Transverse Axis, Vertices, and Foci of the Hyperbola

question 80

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- $25 y ^ { 2 } - 36 x ^ { 2 } = 900$

• A) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices: \(( - 5,0 ) , ( 5,0 )\)
• foci: \(( - \sqrt { 61 } , 0 ) , ( \sqrt { 61 } , 0 )\)
• B) center at \(( 0,0 )\)
• transverse axis is \(\mathrm { y }\)-axis
• vertices: \(( 0 , - 6 ) , ( 0,6 )\)
• foci: \(( - \sqrt { 61 } , 0 ) , ( \sqrt { 61 } , 0 )\)
• C) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices: \(( - 6,0 ) , ( 6,0 )\)
• foci: \(( - 5,0 ) , ( 5,0 )\)
• D) center at \(( 0,0 )\)
• transverse axis is \(y\)-axis
• vertices at \(( 0 , - 6 )\) and \(( 0,6 )\)
• foci at \(( 0 , - \sqrt { 61 } )\) and \(( 0 , \sqrt { 61 } )\)

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