Prove that the direct common tangent to two circles touching each other externally subtends a right angle at the point of contact.
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Refer the following link :
https://www.meritnation.com/ask-answer/question/two-circles-touch-externally-at-p-ab-is-the-common-tangent/math/10166385
Hope this would clear your doubt.
Do let us know in case of any further concerns.
Regards