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Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose x=4cosθy=2sinθ\begin{array} { l } x = 4 \cos \theta \\y = 2 \sin \theta\end{array}

Question 33

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.​ x=4cosθy=2sinθ\begin{array} { l } x = 4 \cos \theta \\y = 2 \sin \theta\end{array}


A) ​ x24+y216=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1
B) x216+y24=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } = 1
C) y=x4y = \frac { x } { 4 }
D) y=x2y = \frac { x } { 2 }
E) ​ x216y24=1\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 4 } = 1

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