Q7 of 49 Page 1

In Fig. 2, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent P and Q.

From the figure,

PR = RC [Tangents from an external point to the same circle are equal]


RQ = RC [Tangents from an external point to the same circle are equal]


⸫ R is the midpoint of P and Q.


Hence, the common tangent at C bisects P and Q.


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