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

question 35

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- $$16 x ^ { 2 } - 100 y ^ { 2 } = 1600$$

• A) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices: \(( 0 , - 10 ) , ( 0,10 )\)
• foci: \(( 0 , - 2 \sqrt { 29 } ) , ( 0,2 \sqrt { 29 } )\)
• B) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices: \(( - 10,0 ) , ( 10,0 )\)
• foci: \(( - 2 \sqrt { 21 } , 0 ) , ( 2 \sqrt { 21 } , 0 )\)
• C) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices: \(( - 4,0 ) , ( 4,0 )\)
• foci: \(( - 2 \sqrt { 29 } , 0 ) , ( 2 \sqrt { 29 } , 0 )\)
• D) center at \(( 0,0 )\)
• transverse axis is \(\mathrm { x }\)-axis
• vertices: \(( - 10,0 ) , ( 10,0 )\)
• foci: \(( - 2 \sqrt { 29 } , 0 ) , ( 2 \sqrt { 29 } , 0 )\)

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