Let R be a relation on the set N be defined by {(x,y)∣x , y∈N,2x+y=41}. Then, R is
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a
Reflex
b
Symmetric
c
Transitive
d
None of these
answer is D.
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Detailed Solution
Relation R=1,39,2,37,...,20,1 This is not reflexive, because (1,1) is not an element in the relation RThis is not symmetric because (1,39) is an element but (39,1) is not an element(19,3) and (3,35) are elements of R but (19,35) is not an element of RSo R is not transitiveTherefore, the relation is not reflexive, not symmetric and not transitive