Two circles touch each other externally at O. Prove that the common tangent at O bisects the other two common tangent segments PQ and RS.

Asked by rushabhjain.a | 7th Feb, 2019, 10:18: PM

Expert Answer:

PT=TO, tangents from an external point
TO=TQ, tangents from an external point
therefore, PT=TQ.....from above two statements
so we can see that tangent through O, bisects tangent PQ
similarly we can prove for RS

Answered by Arun | 8th Feb, 2019, 10:47: AM