The equation ` x^(2) + y^(2) + 2gx + 2fy + c = 0 ` represents a circle of non-zero radius , if

The equation x^(2) + y^(2) + 2gx + 2 fy + c = 0 represents a circle of non-zero radius if

The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a point-circle when -

The equation x^(2) + y^(2) + 2gx + 2fy + c=0 reprsents the circle if

IF the equation x^(2) + y^(2) + 2gx + 2fy + 1 = 0 represents a pair of lines, then

If the equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle with X-axis as a diameter , and radius a, then :

Prove that the equation x^2 + y^2 + 2gx + 2fy + c = 0 represents a circle and find its centre and radius.

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if

the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents an ellipse , if