Point M moved on the circle (x−4)2+(y−8)2=20̣ Then it broke away from it and moving along a tangent to the circle cut the x-axis at point (-2,0). The coordinates of the point on the circle at which the moving point broke away is

x2+y2−8x−16y+60=0                       (i)Equation of chord of contact from (-2,0) is−2x−4(x−2)−8y+60=0or                   3x+4y−34=0               (ii)Solving (i) and (ii), we getx2+34−3x42−8x−1634−3x4+60=0or   16x2+1156−204x+9x2−128x−2176+192x+960=0or   5x2−28x−12=0or   (x−6)(5x+2)=0or   x=6,−25Therefore, the points are (6, 4) and (-2/5,44/5).