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Diagonal Pair

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

MathematicsOn (A={1,2,3,4}), why is (R={(1,1),(2,2),(4,4),(1,2),(2,1)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationMedium MathematicsIf (R) is transitive and ((3,3) \in R), which conclusion must follow?Class 12Relations and FunctionsTransitive relationEasy MathematicsIf (R) is symmetric and ((3,3)\in R), which extra pair is required because of ((3,3))?Class 12Relations and FunctionsSymmetric relationMedium MathematicsWhich ordered pair is the same as its reverse?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R) is symmetric and ((4,4)\in R), what conclusion follows?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIn a symmetric relation, is any special checking needed for a pair like ((6,6))?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), which pair is its own reverse?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R={(2,4),(4,2),(4,4)}), which pair is its own reverse?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf a relation has only the pair ((4,4)), is it symmetric or not?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIn the relation (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), which pair is equal to its own reverse?Class 12Relations and FunctionsSymmetric relationEasy MathematicsWhy is (R={(1,1),(1,2)}) not irreflexive on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}), which pair is first required by transitivity?Class 12Relations and FunctionsIntroduction to RelationsMedium