4. Functions Involving Parameters, Vectors, and Matrices

Parametrically Defined Circles And Lines — Quiz

Test your understanding of parametrically defined circles and lines with 5 practice questions.

Practice Questions

Question 1

Which set of parametric equations represents a circle centered at $\left(0,0\right)$ with radius $5$?

Question 2

What is the center of the circle given by $x=3+2\cos t$ and $y=-1+2\sin t$?

Question 3

Which parametric equations describe the line through $\left(1,2\right)$ with direction vector $\left(3,-4\right)$?

Question 4

For the parametric equations $x=2\cos t$ and $y=2\sin t$, which relationship between $x$ and $y$ is always true?

Question 5

The parametric equations $x=4+3\cos t$ and $y=1+3\sin t$ represent a circle. What is its radius?