Question

Example 3 Could x^2+y^2+AX +????Y +????=0 represent a circle

Answer 1

Answer: Yes it could

Step-by-step explanation:

The equation given is a circle. For an equation to represent equation of a circle, the following conditions must be met

1.) The coefficient of x² and y² must be the same

2) The equation must have a linear function containing x and y like AX and ???Y in the equation above.

Since the equation given conforms with the general of a circle x²+y²+2gx+2fy+c = 0, therefore the equation could represents a circle