Using following result find a set of parametric equation of conic.
Circle: $x = h + r \cos \theta , y = k + r \sin \theta$
Circle: center: $( 8 , - 3 )$ ;radius: 5

A) $x = 5 + 3 \cos \theta , y = 8 - 3 \sin \theta$
B) $x = 3 + 5 \cos \theta , y = 8 - 5 \sin \theta$
C) $x = 8 + 5 \cos \theta , y = 3 - 5 \sin \theta$
D) $x = 8 - 5 \cos \theta , y = 3 + 5 \sin \theta$
E) $x = 8 + 5 \cos \theta , y = - 3 + 5 \sin \theta$

Question

Using following result find a set of parametric equation of conic. ​
Circle: $x = h + r \cos \theta , y = k + r \sin \theta$ ​
Circle: center: $( 8 , - 3 )$ ;radius: 5
​
A) $x = 5 + 3 \cos \theta , y = 8 - 3 \sin \theta$
B) $x = 3 + 5 \cos \theta , y = 8 - 5 \sin \theta$
C) $x = 8 + 5 \cos \theta , y = 3 - 5 \sin \theta$
D) $x = 8 - 5 \cos \theta , y = 3 + 5 \sin \theta$
E) $x = 8 + 5 \cos \theta , y = - 3 + 5 \sin \theta$

Quizplus · Accepted Answer

The correct parametric equations for a circle with center $(h, k) = (8, -3)$ and radius $r = 5$ are $x = h + r \cos \theta = 8 + 5 \cos \theta$ and $y = k + r \sin \theta = -3 + 5 \sin \theta$, which matches option E.

Using Following Result Find a Set of Parametric Equation of Conic