Maths-

General

Easy

Question

# The equations x = a cos , y = a sin, represent

- an ellipse
- a parabola
- a circle
- a hyperbola.

Hint:

**The standard equation of a circle is given by:**

Where **(h,k)** is the coordinates of center of the circle and **r** is the radius.

## The correct answer is: a circle

### Given : x = a cos ------ (1) ,

y = a sin ------ (2)

Squaring both equations and adding them we get

The standard equation of a circle is given by:

Comparing with equation 3

Thus, the equations x = a cos , y = a sin, , represent a circle.

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