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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

FIVE CIRCLES C1 C2 C3 C4 AND C5 WITH RADII R1 R2 R3 R4 R5 REPECTIVELY (R1 < R2 < R3 < R4 < R5 ) BE SUCH THAT CI AND CI+1 TOUCH EACH OTHER EXTERNALLY FOR ALL I=1,2,3,4.IF ALL THE FIVE CIRCLES TOUCH EACH OF THE TWO STRAIGHT LINES L1 AND L2  AND R1 =2 AND R5 =32 THEN R3 IS EQUAL TO




  • (A) 8



  • (B) 17



  • (C) 64/17



  • (D) NONE OF THESE


Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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

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Badiuddin

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