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in Mathematics by (69.2k points)

Let n ≥ 3 and let C1, C2, ….., Cn, be circles with radii r1, r2, ….., rn, respectively. Assume that Ci and Ci+1 touch externally for 1 ≤ i ≤ n – 1. It is also given that the x-axis and the line y = 22x + 10 are tangential to each of the circles. Then r1, r2, ….., rn are in -

(A)  an arithmetic progression with common difference 3 + √2

(B)  a geometric progression with common ratio 3 + 

(C)  an arithmetic progression with common difference 2 + 3

(D)  a geometric progression with common ratio 2 + 3

1 Answer

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Best answer

Correct option   (D)  a geometric progression with common ratio 2 + 3

Explanation:

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