JEE Main 2006 — Sets and Relations Question with Solution
JEE Main 2006
Question
Let W denote the words in the English dictionary. Define the relation R by :
the words and have at least one letter in common . Then is
Choose an option
Show full solutionCorrect option: B
Correct answer
Breflexive, symmetric and not transitive
Step-by-step explanation
Clearly . So, is reflexive.
Let , then as and have at least one letter in common. So, is symmetric.
But is not transitive for example
Let DELHI, DWARKA and PARK
then and but .
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This is a previous-year question from JEE Main 2006, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.