Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $\begin{array} { l } x = 5 \sin 2 \Theta \\y = 5 \cos 2 \theta\end{array}$

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $\begin{array} { l } x = 5 \sin 2 \Theta \\y = 5 \cos 2 \theta\end{array}$

A) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 25 } = 1$
B) $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 25 } = 1$
C) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 2 } = 1$ .
D) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 2 } = 1$
E) $y = \frac { x } { 2 }$