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

Correct option is 4None of these

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

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Symmetric

Transitive

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detailed solution

Correct option is D

On the set N of natural numbers, R={(x,y);x,y∈N,2x+y=41} As (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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Let R be a relation on the set N be defined by {(x,y)∣x , y∈N,2x+y=41}. Then, R is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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