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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #16

Let \(W\) denote the words in the English dictionary. Define \(R=\{(x,y)\in W\times W:\text{the words }x\text{ and }y\text{ have at least one letter in common}\}\). The relation is

✅ Step-by-Step Solution

Final Answer: Option (B): Reflexive, symmetric and not transitive
  1. Every word shares a letter with itself, and sharing is symmetric. BOLD shares a letter with BALL; BALL shares a letter with APE; BOLD shares none with APE. Thus transitivity fails.

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