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Let R = {(1, 3), (4, 2), (2, 4), (2, 3),...

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

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The correct Answer is:
`R` is not having any property of Function niether its Equivalence.

Let `{R}={(1,3),(4,2),(2,4),(2,3),(3,1)}` be a relation on the set` {A}={1,2,3,4}`, then

Since (2,4) in R and (2,3) in R,
and any function doesn't show 2 output at same input
`therefore` R is not a function.

Since `(1,1) notin R`,
`therefore` R is not reflexive.

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RD SHARMA-RELATIONS-Solved Examples And Exercises
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  2. R is a relation on the set Z of integers and it is given by (x ,\ y) i...

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  15. If R is a relation on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} gi...

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  16. If R is a relation on the set A={1,\ 2,\ 3} given by R=(1,\ 1),\ (2,\ ...

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  17. If A={a ,\ b ,\ c ,\ d}, then a relation R={(a ,\ b),\ (b ,\ a),\ (a ,...

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  19. Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2)...

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