Q9 Ch 2 R&F Misc Ex 11th Let R be a relation from N to N defined by R = {(a, b) : a, b belongs to N

NCERT XI Mathematics Chapter 2 : Relations and Functions - Miscellaneous Exercise Q

9. Let R be a relation from N to N defined by R = {(a, b) : a, b belongs to N and a = b^2}. Are
the following true?
(i) (a, a) ∈ R, for all a ∈ N (ii) (a, b) ∈ R, implies (b, a) ∈ R
(iii) (a, b) ∈ R, (b, c) ∈ R implies (a, c) ∈ R.
Justify your answer in each case.

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[kusumadharkodi]

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