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

Mathematics

1 answer:

Oksi-84 [34.3K]4 years ago

8 0

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

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