The two circles x2+y2+2ax-c2=0 and x2+y2+2bx-c2=0 meet in points P and Q. Parallel lines are drawn through P and Q to meet the circles in R and S. Prove that the locus of mid point of RS is the circle x2+y2+(a+b)x=0.
The two circles x2+y2+2ax-c2=0 and x2+y2+2bx-c2=0 meet in points P and Q. Parallel lines are drawn through P and Q to meet the circles in R and S. Prove that the locus of mid point of RS is
the circle x2+y2+(a+b)x=0.












