Find the equation of the circle which passes through the points of intersection of circles `x^2 + y^2 - 2x - 6y + 6 = 0 and x^2 + y^2 + 2x – 6y + 6 = 0` and intersects the circle `x^2 + y^2 + 4x + 6y +4=0` orthogonally.