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Home  >>  AIMS  >>  Class11  >>  Math  >>  Relations and Functions
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Let R be a relation from N to N defined by R = {(a, b): a, b $ \in $ N and a = $b^2$ }. Are the following true? \[\] (i) (a, a) $ \in $ R, for all a $ \in $ N (ii) (a, b) $ \in $ R, implies (b, a) $ \in $ R (iii) (a, b) $ \in $ R, (b, c) $ \in $ R implies (a, c) $ \in $ R.

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(i) not true
(ii) not true
(iii) not true
answered Jun 29, 2014 by thanvigandhi_1

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