Find the Center,vertices and Foci of the Hyperbola $\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 36 } = 1$

question 30

Multiple Choice

Find the center,vertices and foci of the hyperbola.​ $\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 36 } = 1$ ​

• A)Center: (0,0) Vertices: \(( 0,6 )\)
• Foci: \(( 0 , \sqrt { 61 } )\)
• B)Center: (0,0) Vertices: \(( \pm 6,0 )\)
• Foci: \(( \pm \sqrt { 61 } , 0 )\)
• C)Center: (0,0) Vertices: \(( \pm 6,0 )\)
• Foci: \(( \sqrt { 61 } , 0 )\)
• D)Center: (0,0) Vertices: \(( 6,0 )\)
• Foci: \(( \pm \sqrt { 61 } , 0 )\)
• E)Center: (0,0) Vertices: \(( 0 , \pm 5 )\)
• Foci: \(( 0 , \pm \sqrt { 61 } )\)

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Definitions:

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A curve depicting all maximum output possibilities for two or more goods given a set of inputs (resources, labor, etc.).