Identify the Conic by Writing the Equation in Standard Form $25 x ^ { 2 } + 4 y ^ { 2 } - 400 x + 72 y + 1824 = 0$

question 70

Multiple Choice

Identify the conic by writing the equation in standard form. $25 x ^ { 2 } + 4 y ^ { 2 } - 400 x + 72 y + 1824 = 0$

• A) \(\frac { ( x + 4 ) ^ { 2 } } { \frac { 4 } { 8 } } + \frac { ( y - 8 ) ^ { 2 } } { \frac { 8 } { 4 } } = 1\) ; ellipse
• B) \(\frac { ( x - 8 ) ^ { 2 } } { \frac { 8 } { 4 } } + \frac { ( y + 4 ) ^ { 2 } } { \frac { 8 } { 4 } } = 1\) ; ellipse
• C) \(\frac { ( x - 8 ) ^ { 2 } } { \frac { 4 } { 8 } } + \frac { ( y + 4 ) ^ { 2 } } { \frac { 8 } { 4 } } = 1\) ; ellipse
• D) \(\frac { ( x - 8 ) ^ { 2 } } { 4 } + \frac { ( y + 9 ) ^ { 2 } } { 25 } = 1\) ; ellipse
• E) \(( 5 x - 8 ) ^ { 2 } + ( 2 y + 9 ) ^ { 2 } = - 1783\) ; circle

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