JEE MATHEMATICS MCQ: RELATIONS

1 Medium

1 of 1

Understanding +4 | -1

The relation

\leq

on numbers has the following properties.

(i)

a \leq a \, \forall \, a \in {R}

(Reflexivity)

(ii) If

a \leq {b}

and

{b} \leq a

then

a={b} \, \forall \, a, {b} \in {R}

(Antisymmetry)

(iii) If

{a} \leq {b}

and

{b} \leq {c}

then

a \leq {c} \, \forall \, a, {b} \in {R}

(Transitivity)

Which of the above properties the relation

\subset

{p}({A})

has?

View answer and explanation

Correct option: D

(i), (ii) and (iii)

Option D is correct because the subset relation ⊆ on P(A) is reflexive, antisymmetric, and transitive.

More Questions from RELATIONS

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