Let a circle passing through \( (2,0) \) have its centre at the point \( (h,k) \). Let \( (x_c,y_c) \) be the point of intersection of the lines \( 3x + 5y = 1 \) and \( (2 + c)x + 5c^2 y = 1 \). If \( h = \ \displaystyle \lim_{c \to 1} X_c and \ k = \lim_{c \to 1} y_c \), then the equation of the circle is:
