Consider the following two binary relations on the set A = {a, b, c} : R1 = {(c, a) (b, b) , (a, c), (c, c), (b, c), (a, a)} and R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c). Then

Question:

Consider the following two binary relations on the set $A=\{a, b, c\}: R_{1}=\{(\mathrm{c}, a)(b, b),(\mathrm{a}, c),(c, c),(b, c),(a, a)\}$ and $R_{2}=\{(a, b),(b, a),(c, c),(c, a),(a, a),(b, b),(a, c)$. Then

  1. $R_{2}$ is symmetric but it is not transitive

  2. Both $R_{1}$ and $R_{2}$ are transitive

  3. Both $R_{1}$ and $R_{2}$ are not symmetric

  4. $R_{1}$ is not symmetric but it is transitive


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Online April 15, 2018

Solution:

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