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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।

MathematicsIf (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), which property does (R) have?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), which property is definitely present?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsUnder which condition is (R^{-1}=R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(3,3)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn the set of integers, (aRb) if (a-b) is divisible by (3). What type of relation is this?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3,4}), if (aRb) when (a-b) is even, what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a<b), which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a\le b), what type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsOn (A={1,2,3}), if (aRb) when (a=b), which relation does (R) represent?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}), which pairs are still needed for equivalence?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,3),(3,1)}), which pairs must be added to make (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,2),(2,1)}), what must be added to make it reflexive on (A={1,2})?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2}) and (B={3,4}), which can be a relation from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3,4}), what is the number of reflexive relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIn which situation will a relation (R) on (A) not be reflexive?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3)}) on (A={1,2,3}), which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsChoose the correct statement for (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}).Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), which conclusion is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R={(1,1),(2,2),(1,2),(2,1)}) on (A={1,2}), what is (R)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (R=\varnothing) on (A={1,2,3}), which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsMedium