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

Find the equation of the circle through points of intersection of the circle x^(2)+y^(2)-2x-4y+4=0 and the line x+2y=4 which touches the line x+2y=0.

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)-4x-2y+4=0 is

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)-10x-12y+40=0 and whose radius is 4.

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6