The parabola `y^2 = 4x` and the circle `x^2 + y^2 - 6x + 1=0`

Equation of common tangent to parabola y^2 = 2x and circle x^2 + y^2 + 4x = 0

The equation of a common tangent to the parabola y=2x and the circle x^(2)+y^(2)+4x=0 is

If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^(2) + y^(2) + 2x + 4y - 11 = 0 externally and cuts the circle x^(2) + y^(2) - 6x + 8y + k = 0 orthogonally then k =

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 length of common chord of the circles x^2 + y^2 - 6x - 4y + 13 - c^2 = 0 and x^2 + y^2 -4x - 6y + 13 -c^2 = 0 is

If the circle x^(2) + y^(2) + 4x - 6y - c = 0 bissects the circumference of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 , then c =

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