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Question

Let R be a relation on the set N be defined by {(x, y)| x, y Î N, 2x + y = 41}. Then R is


  1. Reflexive

  2. Symmetric

  3. Transitive

  4. None of these


Solution

The correct option is D

None of these


On the set N of natural numbers, 

R = {(x,y): x,y N , 2x + y = 41}.

Since (1,1) R as 2.1+1 = 3 41. So R is not reflexive.

(1,39) R But (39,1) R . So R is not symmetric (20,1)

(1,39 R . But (20,39) R. So R is not transitive . 

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