Let R be a relation on the set of all natural numbers given by a R `hArr` a divides `b^(2)` .Which of the following properties does R satisfy? I . Reflexivity II. Symmetry III. TransitivityA. I onlyB. III onlyC. I and III onlyD. I and II only

Let R be a relation on the set of all natural numbers given by a R `hA

1.	Let R be a relation on the set of all natural numbers given by a R `hArr` a divides `b^(2)` .Which of the following properties does R satisfy? I . Reflexivity II. Symmetry III. TransitivityA. I onlyB. III onlyC. I and III onlyD. I and II only
Answer» Correct Answer - A (I) This relation is reflexive relation because every natural no. divides square of itself a R a `hArr` a divides `a^(2)` (II) not symmetric eg. 5 R 10 `cancel implies 5` Divide 100 But 10 R 5 `cancel implies` 10 Divide 25 Not transitivity for example if 8 R 4 & 4 R 2 `cancelimplies` 8 R 2 only (I)Option

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Let R be a relation on the set of all natural numbers given by a R `hArr` a divides `b^(2)` .Which of the following properties does R satisfy? I . Reflexivity II. Symmetry III. TransitivityA. I onlyB. III onlyC. I and III onlyD. I and II only

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