The centre of the circle inscribed in the square formed by the lines x2−8x+12=0 and y2−14y+45=0, is

The equations of the sides of the square x=2,x=6,y=5 and y=9.Therefore, the coordinates of end points of a diameter are (2, 5) and (6, 9). So, the centre ofsquare has the coordinates 2+62,5+92=(4, 7)Hence, the coordinates of the centre of the circle are ( 4, 7).