Find the Center, Vertices and Foci of the Hyperbola $$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$$

question 81

Multiple Choice

Find the center, vertices and foci of the hyperbola. $$\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$$

• A) Center: \(( 0,0 )\)
• Vertices: \(( \pm 5,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• B) Center: \(( 0,0 )\)
• Vertices: \(\quad ( \pm 4,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• C) Center: \(( 16,25 )\)
• Vertices: \(( \pm 4,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• D) Center: \(( 16,25 )\)
• Vertices: \(( \pm 5,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• E) Center: \(( 0,0 )\)
• Vertices: \(\quad ( 0 , \pm 4 )\)
• Foci: \(( 0 , \pm \sqrt { 41 } )\)

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