Find a Parameterization for the Circle of Radius 4 in the Xz-Plane

Multiple Choice

Find a parameterization for the circle of radius 4 in the xz-plane, centered at the point (3, 0, -5) .Select all that apply.

A) $x = 3 + 4 \cos t , y = 0 , z = 5 + 4 \sin t$
B) $\vec { r } = ( 3 \vec { i } - 5 \vec { k } ) + 4 ( \cos t \vec { i } + \sin t \vec { k } )$
C) $x = 3 - 4 \sin t , y = 0 , z = - 5 + 4 \cos t$
D) $\vec { r } = ( 5 \vec { i } - 3 \vec { k } ) + 4 ( \cos t \vec { i } + \sin t \vec { k } )$
E) $x = 3 + 4 \cos t , y = 0 , z = - 5 + 4 \sin t$