Two circles 
with different radii are given in the plane touching each other externally at 
. Consider points 
on 
and 
on 
, such that 
subtends right angle at . Find the locus of midpoints of all such segments .
with different radii are given in the plane touching each other externally at . Consider points on and on , such that subtends right angle at . Find the locus of midpoints of all such segments .
6 comments:
the commen tangent
y-axis
it is the common tangent passing through the point T.
If you a draw a circle with this mid point as center and its distance from origin as the radius, the common chord of this circle with the two given circles must be perpendicular. The locus comes out to be a circle
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