Statement 1 Let $C$ be a circle intersecting the circles $x^{2}+y^{2}+5 x-9 y+3=0$ and $x^{2}+y^{2}-25=0$ orthogonally. Then, the centre of $C$ lies on the line $5 x-9 y+28=0$ and Statement 2 Centre of any circle intersecting two given circles orthogonally lies on the radical axis of the two circles.