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

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) $\text { ellipse directrices: } x = \frac { 9 \sqrt { 17 } } { 17 } ; \text { hyperbola directrices: } x = - \frac { 81 \sqrt { 145 } } { 145 }$