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Answer based on the following
Two circles of radii $$8$$ units and $$4$$ units are drawn. The distances between there centres is $$20$$ units.
What is the length of direct common tangent?


A
16
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B
12
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C
86
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D
32
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Solution

The correct option is C $$8\sqrt{6}$$
Length of direct common tangent $$=\sqrt{20^2-(8-4)^2}$$
$$=\sqrt{400-16}$$
$$=4\sqrt{24}=8\sqrt{6}$$

Mathematics

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