Identify the Conic by Writing the Equation in Standard Form $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$

question 43

Multiple Choice

Identify the conic by writing the equation in standard form.​ $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$ ​

• A)​ \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ;ellipse
• B)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 97 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 97 } { 8 } } = 1\) ;hyperbola
• C)​ \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ;hyperbola
• D)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ;hyperbola
• E)​ \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ;ellipse

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