If `x^2+y^2-2x+2a y+a+3=0` represents the real circle with nonzero radius, then find the values of `adot`

If x^(2)+y^(2)-2x+2ay+a+3=0 represents the real circle with nonzero radius,then find the values of a.

If x^(2) +y^(2) -4x + 6y + c = 0 represents a circle with radius 6 then find the value of c.

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.

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

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 the equation 2x^2+k x y+2y^2=0 represents a pair of real and distinct lines, then find the values of kdot

If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distinct lines, then find the values of kdot

If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distinct lines, then find the values of kdot

If x^(2)+y^2-4x+6y+c=0 represents a circle with radius 6 then c is