Each of the following defines a relation on $N$ :

(i) $x$ is greater than $y,x,y\in N$

(ii) $x+y=10,x,y\in N$

(iii) $xy,is square of an integer x,y\in N$

(iv) $x+4y=10,x,y\in N$ .

Determine which of the above relations are reflexive, symmetric, and transitive.

<p>This is a Long Answer Type Question as classified in NCERT Exemplar</p><p><strong>Sol:</strong></p><p><strong><picture><img src="https://images.shiksha.com/mediadata/images/articles/1744019980phphYigmQ.jpeg" alt="" width="600" height="637"></picture><picture><img src="https://images.shiksha.com/mediadata/images/articles/1744019997phpw6x49d.jpeg" alt="" width="547" height="651"></picture></strong></p>

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