Question

4)What kind of shape do the parametric equations make?X= 7sin(theta), y= 2cos(theta)

A) Circle

B) Ellipse

C) Square

D) Parabola

Answer 1

Ellipse

Explanation:

Given

`x = 7sin\theta`

`y= 2cos\theta`

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

`x = asin(\theta)` and
`y = bcos(\theta)`

In this case:

`a=7\ b = 2`

So:

`x = 7sin\theta` and
`y= 2cos\theta`