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Determine whether each of the following relations are reflexive,symmetric and transitive: Relation R in the set A={1,2,3,..….…..,13,14} defined as R={(x,y):3x-y=0}

Posted by Raj Kaur 1 year, 5 months ago

CBSE > Class 12 > Mathematics

1 answers

Shanika Sharma 1 year, 5 months ago

Given A={1,2,3_____,13,14} R={(x, y) :3x-y=0} R={(1,3),(2,6),(3,9),(4,12)} 1)Since 1€A but (1,1)does not belong to R Therefore, R is not reflexive 2)since (1,3)€R but (3,1) does not belong to R Therefore R is not symmetric 3) since (1,3)&(3,9)€R but (1,9) does not belong to R Therefore R is not transitive

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