Relations_JEE_Main_29-01-2024(S2) - Competishun – Live JEE & NEET Courses and Exam Prep

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Jee Main 2024

29-01-2024 S2

Question

If $R$ is the smallest equivalence relation on the set $\{1,2,3,4\}$ such that $\{(1,2),(1,3)\} \subset R$, then the number of elements in R is

Select the correct option:

A

10

B

12

C

8

D

15

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Given set $\{1,2,3,4\}$ Minimum order pairs are $$ \begin{aligned} & (1,1),(2,2),(3,3),(4,4),(3,1),(2,1),(2,3),(3,2), \\ & (1,3),(1,2) \end{aligned} $$ Thus no. of elements = 10

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JEE Main

Mathematics

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