If `x^(2)+y^(2)+2gx+2fy+9=0` represents a circle with centre `(1,-3)` then radius =

If x^(2) + y^(2) + 2gx + 2fy = 0 represents a circle with cerntre (-4, -3) then find g, f and the radius of the circle.

Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv) If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv) If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

If x^(2)+y^(2)+2gx + 2fy-12 = 0 represents a circle with centre (2, 3), find g, f and its radius.

Theorem: Prove that the equation x^(2)+y^(2)+2gx+2fy+c=0 always represent a circle whose centre is (-g;-f) and radius sqrt(g^(2)+f^(2)-c)

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

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 circle of non-zero radius , if

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

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