If the equation ` 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 `
represents a circle , then the radius of this circle is

If the equation kx^(2) + (2k - 3) y^(2) - 6x + 4y + 3 = 0 represents a circle, then its centre is

Show that the equation x ^(2) + y ^(2) - 3x + 3y + 10 = 0 does not represent a circle.

If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 = 0 then its radius is

Prove that the equation 3x^(2) + 3y^(2) - 5x + 6y + 8 = 0 does not represent circle.

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

x ^(2) + y^(2) + (2K -1) xy -2x + 4y + 3=0 represents the equation of a circle, find k and radius of the circle ?

x ^(2) + y^(2) + (2K -1) xy -2x + 4y + 3=0 represents the equation of a circle, find k and radius of the circle ?

Find k, if the equation 2x^(2) + kxy - 6y^(2) + 3x + y + 1 = 0 represents a pair of lines. Find the point of intersection of the lines and angle between the lines for this value of k.

Show that the equation 3x^(2)+3y^(2)+6x-4y-1=0 represents a circle Find its centre and radius.

If the equation 2x^(2)+kxy-3y^(2)-x-4y-1=0 represents a pair of lines then the value of ' 'k' can be: