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Sets and Relations question

2018 · 16 Apr · Shift 1 · Q36
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  5. /2018 · 16 Apr · Shift 1 · Q36

Sets and Relations question

2018 · 16 Apr · Shift 1 · Q36

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) ∈\in∈ N ×\times× N : 2x + y = 10} and R2 = {(x, y) ∈\in∈ N ×\times× N : x + 2y = 10}. Then :
  1. A
    Range of R1 is {2, 4, 8).
  2. B
    Range of R2 is {1, 2, 3, 4}.
  3. C
    Both R1 and R2 are symmetric relations.
  4. D
    Both R1 and R2 are transitive relations.
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