Let M = {(x, y) = R x R: x + y r}, where r >...

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Let M = {(x, y) = R x R: x² + y² ≤r²}, where r > 0. Consider the geometric progression 1 an n = 1, 2, 3, ..... Let So = 0 and for n ≥ 1, let S, denote the sum of the first n terms of this 27-1² progression. For n ≥ 1, let C₁ denote the circle with center (Sn-1, 0) and radius an, and D, denote the circle with center (Sn-1, Sn-1) and radius an. For the following reaction Consider M with r = 1025 513 Let k be the number of all those circles C₁ that are inside M. Let 1 be the maximum possible number of circles among these k circles such that no two circles intersect. Then (A) k +21=22 (B) 2k+1=26 (D) 3k +21=40 (C) 2k +31 = 34 Let M = {(x, y) = R x R: x² + y² ≤r²}, where r > 0. Consider the geometric progression 1 an n = 1, 2, 3, ..... Let So = 0 and for n ≥ 1, let S, denote the sum of the first n terms of this 27-1² progression. For n ≥ 1, let C₁ denote the circle with center (Sn-1, 0) and radius an, and D, denote the circle with center (Sn-1, Sn-1) and radius an. For the following reaction Consider M with r = 1025 513 Let k be the number of all those circles C₁ that are inside M. Let 1 be the maximum possible number of circles among these k circles such that no two circles intersect. Then (A) k +21=22 (B) 2k+1=26 (D) 3k +21=40 (C) 2k +31 = 34

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