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Introduction To Relations

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3}), relation (R) is defined by (aRb) if (|a-b|=0). What is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2}), how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is transitive and ((4,5)\in R), ((5,8)\in R), which pair must be in (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is reflexive and (A={5,6,7}), which pair must be in (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is symmetric on (A={1,2,3}) and ((2,3)\in R), which pair must be in (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R=\varnothing) on a non-empty set (A), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}) on (A={1,2,3}), what is the correct name of (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), why is (R) not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf the universal relation is on (A={1,2,3,4}), how many pairs will it contain?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R) is the identity relation on (A={1,2,3,4}), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}), which pairs are still needed for equivalence?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,3),(2,3),(3,1)}), which is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4),(4,2)}) on (A={1,2,3,4}), which partition is associated with (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a\ge b), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a) divides (b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a+b) is odd, why is (R) not reflexive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a+b) is even, which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf on (A={1,2,3,4}), (aRb) if (a) and (b) are both even or both odd, what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn integers, (aRb) if (a-b) is divisible by (5). In which class will (7) lie?Class 12Relations and FunctionsIntroduction to RelationsMedium