Question

Describe Equation of Curves

Answer 1

A curve is a shape that can be closed or open. Some of the open curves are parabola, hyperbola, and straight line. These curves can be represented in the cartesian plane using equations.

Let's see how we can do that.

A curve can be represented in a graph using the help of equations.

Let's understand it with the help of some examples.

The equation$y=x^2$ represents a parabola in the cartesian plane, as shown below.

The equation$a{x}^2+b{y}^2=c$ is the general equation for an ellipse. When $aandb$ are equal, we get the equation of a circle

Hence curves can be both open and close as well.