IMO 2000

 Posts: 66
 Joined: Tue Mar 20, 2012 12:52 am
IMO 2000
Two circles x and y intersect at M and N.Let l be the common tangent to x and y such that M is closer to l than N is.Let l touch x at A and y at B.Let the line through M parallel to l meet the circle x again at C and the circle y again at D.Lines CA and DB meet at E,lines AN and CD meet at P,lines BN and CD meet at Q.Show that EP=EQ
 FahimFerdous
 Posts: 176
 Joined: Thu Dec 09, 2010 12:50 am
 Location: Mymensingh, Bangladesh