Determine the Directrices for the Ellipse and Hyperbola $64 x ^ { 2 } + 81 y ^ { 2 } = 5,184,64 x ^ { 2 } - 81 y ^ { 2 } = 5,184$

question 22

Multiple Choice

Determine the directrices for the ellipse and hyperbola. $64 x ^ { 2 } + 81 y ^ { 2 } = 5,184,64 x ^ { 2 } - 81 y ^ { 2 } = 5,184$

• A) \(\text { ellipse directrices: } x = \pm 9 \sqrt { 17 } \text {; hyperbola directrices: } x = \pm 9 \sqrt { 145 }\)
• B) \(\text { ellipse directrices: } x = \pm \frac { 81 \sqrt { 17 } } { 17 } ; \text { hyperbola directrices: } x = \pm \frac { 81 \sqrt { 145 } } { 145 }\)
• C) \(\text { ellipse directrices: } x = \pm \frac { 81 \sqrt { 145 } } { 17 } ; \text { hyperbola directrices: } x = \pm \frac { 81 \sqrt { 17 } } { 145 }\)
• D) \(\text { ellipse directrices: } x = - 9 \sqrt { 17 } \text {; hyperbola directrices: } x = 9 \sqrt { 145 }\)
• E) \(\text { ellipse directrices: } x = \frac { 9 \sqrt { 17 } } { 17 } ; \text { hyperbola directrices: } x = - \frac { 81 \sqrt { 145 } } { 145 }\)

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