Question

True or False Parametric equations defining a curve are unique.

Short answer

False

Step-by-step solution

Step 1. Description

Given Parametric equations defining a curve are unique.

We have to find out if it is true or false.

Step 2. Simplification

False,

for example:

$$\begin{gathered} x\left(t\right)=\sin t,y\left(t\right)=\cos t \\ representtheunitcircle{x}^2+y^2=1 \\ x\left(t\right)=\sqrt{t},y\left(t\right)=\sqrt{1-t},representtheunitcircle{x}^2+y^2=1 \end{gathered}$$

so the statement in the question given is false.