If `ax^(2)+bxy+3y^(2)-5x+2y-3=0` represents a circle then a,bare

If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2) - 8x + 12y - 4 = 0 represents a circle , then : a =

The equation ax^(2) + 2bxy + 2y^(2) + 2x - y + c = 0 represents a circle through the origin , if

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

ax ^(2) + 2y ^(2) + 2bx y +2x -y + x=0 represents a circle through the origin, if

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 x^(2)+alpha xy+3y^(2)-5x-9y+beta=0 represents a pair of straight lines such that the portionsof axes between the lines are equal, then the value of alpha is

The equation x^(3)+ax^(2)y+bxy^(2)+y^(3)=0 represents three straight lines, two of which are perpendicular, then the equation of the third line, is

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

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is