$R$ is a relation from $\{11,12,13\}$ to $\{8,10,12\}$ defined by $y=x-3$. The relation $R^{-1}$ is

JEE MATHEMATICS MCQ: RELATIONS

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Application +4 | -1

R

is a relation from

\{11,12,13\}

\{8,10,12\}

defined by

y=x-3

. The relation

R^{-1}

View answer and explanation

Correct option: B

\{(8,11),(10,13)\}

Option B (

\left\{(8,11),(10,13)\right\}

) is correct because it represents the inverse relation

R^{-1}

, where the ordered pairs are reversed from the original relation

R

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