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Each of the following defines a relation on N:(i) x > y, x, y ∈ N(ii) x + y = 10, x, y ∈ N(iii) xy is square of an integer, x, y ∈ N(iv) x + 4y = 10, x, y ∈ NDetermine which of the above relations are reflexive, symmetric and transitive. [NCERT EXEMPLAR] |
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Answer» Each of the following defines a relation on N: (i) x > y, x, y ∈ N (ii) x + y = 10, x, y ∈ N (iii) xy is square of an integer, x, y ∈ N (iv) x + 4y = 10, x, y ∈ N Determine which of the above relations are reflexive, symmetric and transitive. [NCERT EXEMPLAR] |
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