Find a Rectangular Equation for the Plane Curve Defined by the Parametric

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 5 \cos t , y = - 2 \sin t ; 0 \leq t \leq 2 \pi$$

A) $4 x ^ { 2 } + 25 y ^ { 2 } = 100 ; - 5 \leq x \leq 5$
B) $4 x ^ { 2 } - 25 y ^ { 2 } = 100 ; x \geq 5$
C) $4 x ^ { 2 } + 25 y ^ { 2 } = 1 ; - \frac { 1 } { 5 } \leq x \leq \frac { 1 } { 5 }$
D) $4 x ^ { 2 } - 25 y ^ { 2 } = 1 ; x \geq \frac { 1 } { 2 }$