Q

# Solve! - Sets, Relations and Functions - JEE Main-2

Let $\dpi{100} R= \left \{ \left ( 1,3 \right ),\left ( 4,2 \right ),\left ( 2,4 \right ),\left ( 2,3 \right ) ,\left ( 3,1 \right )\right \}$

be a relation on the set $\dpi{100} A= \left \{ 1,2,3,4 \right \}$ The relation $\dpi{100} R$ is

• Option 1)

not symmetric

• Option 2)

transitive

• Option 3)

a function

• Option 4)

reflexive.

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N

As we learnt in

SYMMETRIC RELATION -

A relation R in A is said to be symmetric, if a R b ⇒ b R a,∀ a,b ∈ A

-

R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)}

A = {1, 2, 3, 4}

$(2, 3)\epsilon R$ but $(3, 2)\epsilon R$ so it is not symmetric.

Correct option is 1.

Option 1)

not symmetric

This is the correct option.

Option 2)

transitive

This is an incorrect option.

Option 3)

a function

This is an incorrect option.

Option 4)

reflexive.

This is an incorrect option.

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