Let N denote the set of all natural numbers. Define two binary relations on N as R 1 = x , y ∈ N &#215…

Let N denote the set of all natural numbers. Define two binary relations on N as R1=x,y∈N×N:2x+y=10 and R2=x,y∈N×N:x+2y=10. Then
  1. both R1 and R2 are transitive relations
  2. range of R2 is 1,2,3,4
  3. range of R1 is 2,4,8
  4. both R1 and R2 are symmetric relations

Solution

R1=1,8, 2,6, 3,4, 4,2

R2=8,1, 6,2, 4,3, 2,4 }

Range of R2=1,2,3,4

Asked in: JEE Main 2018 (16 Apr Online)

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