Question

The curve with parametric equations $x=1+4cos\theta ,y=2+3$ sin $\theta$ is

• A. an ellipse
• B. a parabola
• C. a hyperbola
• D. a circle

Answer 1

The correct option is A an ellipse

Given equations are $\frac{x-1}{4}=cos\theta ;\frac{y-2}{3}=sin\theta \Rightarrow \frac{(x-1{)}^2}{16}+\frac{(y-2{)}^2}{9}=1$ which is an ellipse