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

question 12

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) \(\frac { ( x - 1 ) ^ { 2 } } { 25 } - \frac { ( y - 1 ) ^ { 2 } } { 9 } = 1\)

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