The equation of a line inclined at an angle of π/4 to the X-axis, such that the two circles x2+y2=4 and x2+y2 −10x−14y+65=0 intercept equal lengths on it, is

Let the equation of line be y=x+c or y−x=c                  (i)The perpendicular from (0, 0) on line (i) is −c/2∣=c/2.In △AON,22−c22=AN and ΔCPM,32−2−c22=CMGiven AN = CM or   4−c22=9−(2−c)22 or c=−32Therefore, the equation of the line is y=x−32 or 2x−2y−3=0