Find an Equation for the Conic That Satisfies the Given $( \pm 1,6 )$

question 129

Multiple Choice

Find an equation for the conic that satisfies the given conditions.
ellipse, foci $( \pm 1,6 )$ , length of major axis 8

• A) \(6 x ^ { 2 } = y\)
• B)
• \(\frac { x ^ { 2 } } { 16 } + \frac { ( y - 6 ) ^ { 2 } } { 15 } = 1\)
• C) \(\frac { ( x - 6 ) ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 15 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 15 } = 1\)
• E) \(36 x ^ { 2 } = y\)

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