For the equation
`ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0` where `a ne 0`, to represent a circle, the condition will be

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

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

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

If the equation x^(2)+y^(2)+2hxy+2gx+2fy+c=0 represents a circle,then the condition for that circle to pass through three quadrants only but not passing through the origin is f^(2)>c (b) g^(2)>2c>0( d )h=0

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

Under the conditions ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 will be the equation of a circle ? In that case what will be the coordinates of the centre ?