Select the type of curve formed by the parametric equations $x=2+6 \cos 2 t$ and $y=-1+3 \sin 2 t$.
A) Circle
B) Parabola
C) Elipse
D) Line

Question

Quizplus · Accepted Answer

The given parametric equations represent an ellipse. The equations are of the form $x = h + a \cos(kt)$ and $y = k + b \sin(kt)$, which describe an ellipse centered at $(h, k)$ with semi-major and semi-minor axes determined by $a$ and $b$.

Select the Type of Curve Formed by the Parametric Equations x=2+6cos⁡2tx=2+6 \cos 2 tx=2+6cos2t

Select the Type of Curve Formed by the Parametric Equations $x=2+6 \cos 2 t$