Question

The equation `3x^2 +2y^2 +2x -5y -6 = 0` does not represent a circle. How can you tell this by looking at the equation?

Answer 1

not the same coefficient

Explanation:

The equation of the circle in the standard form is the following:

`x^2+y^2+ax+by+c=0`

that is reachable if the terms of degree 2 have the same coefficient, but in the given equation they are different: 3 for `x^2` and 2 for `y^2`