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Sets and Relations question

2022 · 29 Jun · Shift 1 · Q28
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  5. /2022 · 29 Jun · Shift 1 · Q28

Sets and Relations question

2022 · 29 Jun · Shift 1 · Q28

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let a set A = A1 ∪\cup∪ A2 ∪\cup∪..... ∪\cup∪ Ak, where Ai ∩\cap∩ Aj =ϕ\phiϕ for i eee j, 1 ≤\le≤ j, j ≤\le≤ k. Define the relation R from A to A by R = {(x, y) : y ∈\in∈ Ai if and only if x ∈\in∈ Ai, 1 ≤\le≤ i ≤\le≤ k}. Then, R is :
  1. A
    reflexive, symmetric but not transitive.
  2. B
    reflexive, transitive but not symmetric.
  3. C
    reflexive but not symmetric and transitive.
  4. D
    an equivalence relation.
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