How to check if a point is inside an ellipse?

Question

Geometry

There is a point x, y - how to check whether it is within the boundaries of a given ellipse.
What do you need to know about the ellipse to do this?

Answer 1

Canonical equation of an ellipse:
x^2 / a^2 + y^2 / b^2 = 1
a and b - semi - axis
If x^2 / a^2 + y^2 / b^2 <= 1 - inside
If x ^2 / a^2 + y^2 / b^2 < 1 - inside, no border