Question

fill in the blank so that the resulting statement is true.
the equation ( x^{2}+y^{2}+d x+e y+f = 0 ) is called the
form of the equation of a circle.
the equation ( x^{2}+y^{2}+d x+e y+f = 0 ) is called the form of the equation of a circle.

Explanation:

The general form of a circle's equation is \(x^{2}+y^{2}+Dx + Ey+F = 0\). The standard form is \((x - h)^{2}+(y - k)^{2}=r^{2}\), where \((h,k)\) is the center and \(r\) is the radius. By comparing, the given equation \(x^{2}+y^{2}+Dx + Ey+F = 0\) matches the general form.

Answer:

general