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JEE Mains · Maths · STD 12 - 1. relation and function

माना \(\mathrm{A}=\{1,2,3, \ldots, 20\}\) है। माना \(\mathrm{A}\) दो संबंध \(\mathrm{R}_1\) तथा \(\mathrm{R}_2\) \(\mathrm{R}_1=\{(\mathrm{a}, \mathrm{b}): \mathrm{b}, \mathrm{a}\) से विभाज्य है\(\}\) \(\mathrm{R}_2=\{(\mathrm{a}, \mathrm{b}): \mathrm{a}, \mathrm{b}\) का पूर्णांकीय गुणज़ है\(\}\) तो \(\mathrm{R}_1-\mathrm{R}_2\) में अवयवों की संख्या ........... है।

  1. A \(44\)
  2. B \(46\)
  3. C \(45\)
  4. D \(40\)
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Answer & Solution

Correct Answer

(B) \(46\)

Step-by-step Solution

Detailed explanation

\( \mathrm{n}\left(\mathrm{R}_1\right)=20+10+6+5+4+3+2+2+2 \) \( +2+\underbrace{1+\ldots+1}_{10 \text { times }}\) \(\mathrm{n}\left(\mathrm{R}_1\right)=66\) \(\mathrm{R}_1 \cap \mathrm{R}_2=\{(1,1),(2,2), \ldots(20,20)\}\)…
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