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Let A={1,2,3....14}. Define a relation R...

Let A={1,2,3....14}. Define a relation R from A to A by `R={(x,y) : 3x-y=0," where "x, y in A}`. Write down its domain, condomain and range.

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The correct Answer is:
`R={(3,1),(6,2),(9,3),(12,4)}`
Domain: {3, 6, 9, 12}, Range: {1, 2, 3, 4}, Codomain: A
Given relation R from set A to itself is `R={(x,y):x=3y, " where " x,y in A} `
` :. R={(3,1),(6,2),(9,3),(12,4)}`
Domain of R is `{3,6,9,12}` and range of R is `{1,2,3,4}` Codomain of R is set A.
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