Let $R$ be a relation on a set $A$ such that $R = {R^{ - 1}},$ then $R$ is

JEE MATHEMATICS MCQ: RELATIONS

1 Easy

1 of 1

Understanding +4 | -1

Let

R

be a relation on a set

A

such that

R = {R^{ - 1}},

then

R

View answer and explanation

Correct option: B

Symmetric

Option B (Symmetric) is correct because if R = R⁻¹, then for every (a, b) in R, (b, a) is also in R, which is the definition of a symmetric relation.

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\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