Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = 1 + 3 \cos \theta$

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.​ $x = 1 + 3 \cos \theta$ $$y = 1 + 5 \sin \theta$$ ​

A) $\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1$
B) $$\frac { ( x - 1 ) ^ { 2 } } { 9 } - \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1$$
C) $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 25 } = 1$
D) ​ $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1$
E) $\frac { ( x - 1 ) ^ { 2 } } { 25 } - \frac { ( y - 1 ) ^ { 2 } } { 9 } = 1$