The equation of the circle passing through the point of intersection of the circles `x^2+y^2-4x-2y=8` and `x^2+y^2-2x-4y=8` and the point `(-1,4)` is (a) `x^2+y^2+4x+4y-8=0` (b)`x^2+y^2-3x+4y+8=0` (c)`x^2+y^2+x+y=0` (d)`x^2+y^2-3x-3y-8=0`

Equation of the circle which passes through the points of intersection of circles x ^(2) +y^(2) =6 and x^(2)+y^(2) -6x +8 =0 and the point (1,1) is-

The equation of the circle passing through the point (1, 1) and the points of intersection of x^2+y^2-6x+8=0 and x^2+y^2-6=0 is

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The equation of the circle passing through the point (1, 1) and the points of intersection of x^(2)+y^(2)-6x-8=0 and x^(2)+y^(2)-6=0 is

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is (a) 5x^2+5y^2+18 x+6y-5=0 (b) 5x^2+5y^2+9x+8y-15=0 (c) 5x^2+5y^2+4x+9y-5=0 (c) 5x^2+5y^2-4x-2y-18=0

Show that the equation of the circle passing through (1, 1) and the points of intersection of the circles x^2+y^2+13 x-3 y=0 and 2x^2+2y^2+4x-7y-25=0 is 4x^2+4y^2+30 x-13 y-25=0.

The equation of the circle passing through the point (1 , 1) and the points of intersection of x^(2) + y^(2) - 6x - 8 = 0 and x^(2) + y^(2) - 6 = 0 is _

The equation of the circle whose diameter is the common chord of the circles x^2+y^2+3x+2y+1=0 and x^2+y^2+3x+4y+2=0 is

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .