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Grade: 12

                        

FIVE CIRCLES C 1 C 2 C 3 C 4 AND C 5 WITH RADII R 1 R 2 R 3 R 4 R 5 REPECTIVELY (R 1 2 3 4 5 ) BE SUCH THAT C I AND C I+1 TOUCH EACH OTHER EXTERNALLY FOR ALL I=1,2,3,4.IF ALL THE FIVE CIRCLES TOUCH EACH OF THE TWO STRAIGHT LINES L 1 AND L 2 AND R 1 =2 AND R 5 =32 THEN R 3 IS EQUAL TO (A) 8 (B) 17 (C) 64/17 (D) NONE OF THESE

10 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
							

Dear shaurya sinha

circle touches next circle externally and also two lines

draw digram

you will easly get that radius of circles are in GP

given

R1 =2 and   R5  = 32

so common ratio  =2

R3 = 2*22

     =8

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
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Badiuddin

10 years ago
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