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

MathematicsWhich of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17ExpertMathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.Class 12Relations and FunctionsEquivalence relationLevel 16ExpertMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16MediumMathematicsIf (R) is an equivalence relation on (A), with what will every element (a\in A) be related?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3}), the empty relation (R={}) is given. Is it an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf a relation is an equivalence relation, must it be reflexive?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsWhich property checks that for every (a\in A), ((a,a)\in R)?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3}), why is (R={(1,1),(2,2),(1,2),(2,1)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16EasyMathematicsWhy is the universal relation on (A={1,2,3}) always reflexive?Class 12Relations and FunctionsEquivalence relationLevel 16EasyMathematicsWhich three properties must a relation have to be an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 16EasyMathematicsOn the set of real numbers, relation (R) is defined by (aRb) if ((a-b)^2=0). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12HardMathematicsOn (A={-1,0,1}), (R={(a,b):a^2+b^2\le k}). What is the minimum value of (k) for (R) to be reflexive?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsA student says that a relation on (A={1,2,3}) is reflexive because it contains ((1,1)) and ((2,2)). What missing point should the teacher mention?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsWhich option gives the best symbolic identification of a reflexive relation?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn (A={1,2,3}), the relation (R) contains only ((1,1),(2,2),(3,3),(1,3),(3,1)). Which statement is correct?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsIf (A=\varnothing), which statement is correct about the empty relation on (A)?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Will (R^{-1}) be reflexive?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsIf (R) is reflexive on (A), what is correct about (R^{-1})?Class 12Relations and FunctionsReflexive relationLevel 9Medium