The value of `lambda` for which the circle `x^(2)+y^(2)+2lambdax+6y+1=0` intersects the circle `x^(2)+y^(2)+4x+2y=0` orthogonally, is

The circle through (-2,5),(0,0) and intersecting the circle x^(2)+y^(2)-4x+3y-1=0 orthogonally is

The value of k for which the circle x^(2) + y^(2) -4x + 6y +3 =0 will bisect the circumferece of the circle x^(2) +y^(2) +6x -4y +k=0 is

The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 will bisect the circumference of the circle x ^(2) + y ^(2) + 6x - 4y + k =0 is

If the circles x^(2) + y^(2) - 6x - 8y + 12 = 0 , x^(2) + y^(2) - 4x + 6y + k = 0 cut orthogonally, then k =

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 4x + 6y + 4 = 0 orthogonally is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 5x + 4y + 2 = 0 orthogonally is

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

The value of k, if the circles 2x ^(2) + 2y ^(2) - 4x + 6y = 3 and x ^(2) + y ^(2) + kx + y =0 cut orthogonally is