STATEMENT – 1 :  If the circles $x^2+y^2+2gx+2fy=0$ and $x^2+y^2+2g^{1}x+2f^{1}y=0$ touch each other then $f^{1}g=f{g}^1.$
STATEMENT- 2:  Let C be any circle with centre $(0,\sqrt{2}).$ There can be atmost 2 points with rational coordinates on C.
STATEMENT- 3:   Circle $x^2+y^2-6x-4y+9=0$ bisects the circumference of the circle $x^2+y^2-8x-6y+23=0$
STATEMENT- 4:  If centre of first circle lie on the second circle then it bisects circumference of second circle
Which of the following must be truth value of above statements in that order