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The length of a common internal tangent to two circles is 7 and that of a common external tangent is 11 . Then the product of the radii of the two circles is

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answer is 18.

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Detailed Solution

From the figure, d2=112+(r1−r2)2-----1From the figure, d2=72+(r1+r2)2---2From (1) and (2),4r1r2=72 or r1r2=18

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