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

समुच्चय \(\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}\}\) में संबंध \(\mathrm{R}=\{(\mathrm{a}, \mathrm{b}),(\mathrm{b}, \mathrm{c})\), (b, d) \(\}\) परिभाषित है न्यूनतम अवयवों की संख्या, जिन्हें \(\mathrm{R}\) में जोड़ने पर संबंध तुल्यता संबंध हो जाये, होगी_____________ . 

  1. A \(11\)
  2. B \(12\)
  3. C \(19\)
  4. D \(13\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(13\)

Step-by-step Solution

Detailed explanation

Given \(R=\{(a, b),(b, c),(b, d)\}\) In order to make it equivalence relation as per given set, \(R\) must be \(\{(a, a),(b, b),(c, c),(d, d),(a, b),(b, a),(b, c),(c, b)\), \((b, d),(d, b),(a, c),(a, d),(c, d),(d, c),(c, a),(d, a)\}\) There already given so \(13\) more to be…
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