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Sets and Relations question

2021 · 31 Aug · Shift 1 · Q27
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  5. /2021 · 31 Aug · Shift 1 · Q27

Sets and Relations question

2021 · 31 Aug · Shift 1 · Q27

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Which of the following is not correct for relation R on the set of real numbers ?
  1. A
    (x, y) ∈\in∈ R ⇔\Leftrightarrow⇔ 0 < |x|−-−|y|≤\le≤ 1 is neither transitive nor symmetric.
  2. B
    (x, y) ∈\in∈ R ⇔\Leftrightarrow⇔ 0 < |x −-− y|≤\le≤ 1 is symmetric and transitive.
  3. C
    (x, y) ∈\in∈ R ⇔\Leftrightarrow⇔|x|−-−|y|≤\le≤ 1 is reflexive but not symmetric.
  4. D
    (x, y) ∈\in∈ R ⇔\Leftrightarrow⇔|x −-− y|≤\le≤ 1 is reflexive nd symmetric.
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