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Standard XII

Mathematics

Definition of Relations

Let S=1,2,3...

Question

Let $S = {1, 2, 3}$ and a relation $R$ is defined by $a R b$ iff $a = b$ then find $R$ .

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Solution

Given $S = {1, 2, 3}$ and a relation $R$ is defined by $a R b$ iff $a = b$ .
Then $R = {(1, 1), (2, 2), (3, 3)}$ since $1 R 1, 2 R 2, 3 R 3$ holds.

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Let S={1,2,3} and a relation R is defined by aRb iff a=b then find R.

Given S={1,2,3} and a relation R is defined by aRb iff a=b.Then R={(1,1),(2,2),(3,3)} since 1R1,2R2,3R3 holds.

Let $S = {1, 2, 3}$ and a relation $R$ is defined by $a R b$ iff $a = b$ then find $R$ .

Given $S = {1, 2, 3}$ and a relation $R$ is defined by $a R b$ iff $a = b$ .
Then $R = {(1, 1), (2, 2), (3, 3)}$ since $1 R 1, 2 R 2, 3 R 3$ holds.