The equation of the circle whose diameter is common chord to the circles

The equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x+ 2y + 1= 0 and x^(2) + y^(2) + 4x+6y +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 equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 =0 and x^(2) + y^(2)+ 4x + 3y +2 = 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: x^2+y^2+8x+10 y+2=0 x^2+y^2-5x+4y+7=0 2x^2+2y^2+6x+2y+1=0 None of these

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