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Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0. Consider the geometric progression  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 centre (Sn - 1, 0) and radius an, and Dn denote the circle with centre (Sn - 1, Sn - 1) and radius an.
Q. 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
  • a)
    k + 2l = 22
  • b)
    2k + l = 26
  • c)
    2k + 3l = 34
  • d)
    3k + 2l = 40
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0....


Also, no two of C1, C3, C5, C7 and C9 intersect each other. And no two of C2, C4, C6, C8 and C10 intersect each other.
For both, we get l = 5.
⇒ 3k + 2l = 40
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Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0. Consider the geometric progression 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 centre (Sn - 1, 0) and radius an, and Dn denote the circle with centre (Sn - 1, Sn - 1) and radius an.Q. 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. Thena)k + 2l = 22b)2k + l = 26c)2k + 3l = 34d)3k + 2l = 40Correct answer is option 'D'. Can you explain this answer?
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Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0. Consider the geometric progression 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 centre (Sn - 1, 0) and radius an, and Dn denote the circle with centre (Sn - 1, Sn - 1) and radius an.Q. 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. Thena)k + 2l = 22b)2k + l = 26c)2k + 3l = 34d)3k + 2l = 40Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0. Consider the geometric progression 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 centre (Sn - 1, 0) and radius an, and Dn denote the circle with centre (Sn - 1, Sn - 1) and radius an.Q. 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. Thena)k + 2l = 22b)2k + l = 26c)2k + 3l = 34d)3k + 2l = 40Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let M = {(x, y) ∈ R × R : x2 + y2 ≤ r2}, where r > 0. Consider the geometric progression 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 centre (Sn - 1, 0) and radius an, and Dn denote the circle with centre (Sn - 1, Sn - 1) and radius an.Q. 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. Thena)k + 2l = 22b)2k + l = 26c)2k + 3l = 34d)3k + 2l = 40Correct answer is option 'D'. Can you explain this answer?.
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