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Take three collinear points X – Y – Z as shown in figure. Draw a circle with centre X and radius XY.

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Take three collinear points X – Y – Z as shown in figure. Draw a circle with centre X and radius XY. 

Draw another circle with centre Z and radius YZ. Note that both the circles intersect each other at the single point Y. Draw a line / through point Y and perpendicular to seg XZ. What is line l

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Line l is a common tangent of the two circles.

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