For the circle `ax^(2)+y^(2)+bx+dy+2=0` centre is `(1,2)` then `2b+3d`=

If the circle x^(2) + y ^(2) + ax + by - 12=0 has the centre at (2,3) then find a, b and the radius of the circle .

If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a, b, and the radius of the circle.

The coordinates of the centre of the circle 2x^(2)+2y^(2) + ax + by + c= 0 are (3, - 4), find a and b.

If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 its radius is

The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have no common tangent if

Find the equation of the circle passing through the intersection of the circles, x^2+y^2-2ax=0 and x^2+y^2-2by=0 and having the centre on the line x/a - y/b = 2.

If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roots of ax^(3) + 3bx^(2) + 9cx + 27d = 0 are

If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roots of ax^(3) + 3bx^(2) + 9cx + 27d = 0 are

Let y^(2) = 4ax be a parabola and x^(2) + y^(2) + 2bx = 0 be a circle . If the parabola and the circle touch each other externally , then _