Monday 1 April 2019

UGC NET CS 2018 July - II Question 89

89. Which of the following is an equivalence relation on the set of all functions from Z to
Z ?
(1) { (f, g) ? f (x)−g (x)=1 x e Z }
(2) { (f, g) ? f (0)=g (0) or f (1)=g (1) }
(3) { (f, g) ? f (0)=g (1) and f (1)=g (0) }
(4) { (f, g) ? f (x)−g (x)=k for some k e Z }

Answer: 4


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