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Question
If AB and CD are common tangents to two circles of unequal radii, then ______.
Fill in the Blanks
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Solution
If AB and CD are common tangents to two circles of unequal radii, then AB = CD.
Explanation:
Extend AB and CD to meet at point P. From external point P the two tangents to each circle are equal, so PA = PC and PB = PD. Subtracting gives (PA – PB) = (PC – PD), hence AB = CD.
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