If $R$ is a relation '$ < $' from $A=\{1,2,3,4\}$ to $B=\{1,3,5\}$, i.e. $(a, b) \in R$ iff $a < b$, then $R \circ R { }^{-1}$ is

$\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}$

$\{(3,1),(5,1),(3,2),(5,2),(5,3),(5,4)\}$

JEE MATHEMATICS MCQ: RELATIONS

1 Medium

1 of 1

Application +4 | -1

R

is a relation '

<

' from

A=\{1,2,3,4\}

B=\{1,3,5\}

, i.e.

(a, b) \in R

iff

a < b

, then

R \circ R { }^{-1}

View answer and explanation

Correct option: C

\{(3,3),(3,5),(5,3),(5,5)\}

Option C ({ (3,3),(3,5),(5,3),(5,5) }) is correct because it represents the composition of the relation R with its inverse.

Practice All Chapter MCQs →

\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R