Circle

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Let M={(x,y)∈ℝ×ℝ:x2+y2≤r2} where r>0.
Consider the geometric progression an=‌
1
2n−1
,n=1
,2
,3
,....

Let S0=0 and, for n≥1, let Sn denote the sum of the first n terms of this progression. For n≥1, let Cn denote the circle with center (Sn−1,0) and radius an, and Dn denote the circle with center (Sn −1,Sn−1 ) and radius an.
Section: Mathematics
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Question : 7 of 27
 
Marks: +1, -0
Consider M with r=‌
1025
513
. Let k be the number of all those circles Cn that are inside M. Let l be the maximum possible number of circles among these k circles such that no two circles intersect. Then
[JEE Adv 2021 P2]
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