Determine if a point is inside an ellipse

Teacher's questions

Determine if a point is inside an ellipse

Hi,
How can I determine if a point (x,y) is on or inside an ellipse?
amit28it

Re: How to write the inequality of an Ellipse equation?

So if a point has coordinates $$(x_1, y_1)$$ then

$$\frac{x_1^2}{a^2} + \frac{y_1^2}{b^2} < 1$$
then the point is inside the ellipse
else it is outside the ellipse.

It is the same as circles.

Math Tutor