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Question

Supposes S1 and S2 are two unequal circle ; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10,then RS is.
780552_fd392c3a5c994d46b7a895daee8a7a73.PNG

A
8
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B
9
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C
10
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D
11
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Solution

The correct option is C 10
RP=RA=10α
Also SQ=SD=10β
(1) and (2) α=β,Hence RS=10
784578_780552_ans_d79ae6f4e7b044b89b0a685d68a36281.PNG

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