Let $A=\{1,2,3\}, B=\{1,3,5\}$. If relation $R$ from $A$ to $B$ is given by $\{(1,3),(2,5),(3,3)\}$, then $R^{-1}$ is

JEE MATHEMATICS MCQ: RELATIONS

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Understanding +4 | -1

Let

A=\{1,2,3\}, B=\{1,3,5\}

. If relation

R

from

A

B

is given by

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

, then

R^{-1}

View answer and explanation

Correct option: D

None of the above

Option None of the above is correct. The inverse relation

R^{-1}

is obtained by swapping the elements in each ordered pair of R. Therefore,

R^{-1} = \{(3, 1), (5, 2), (3, 3)\}

, which is not among the given options.

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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