014

Part of 1962 All Russian Mathematical Olympiad

Problems(1)

ASU 014 All Russian MO 1962 8.2 locus

Source:

Given the circumference

s

and the straight line

l

, passing through the centre

O

s

. Another circumference

s'

passes through the point

O

and has its centre on the

l

. Describe the set of the points

M

, where the common tangent of

s

s'

s'