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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।

MathematicsOn (A={1,2,3}), how many relations are neither symmetric nor antisymmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5,6}), (R={(a,b):\gcd(a,b)=1}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3,4}), how many symmetric relations contain exactly two diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (R) is a relation on a set (A), when will (R^{-1}) be symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn real numbers, (aRb) iff (a-b) is irrational. Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (R) is symmetric and ((3,5)\in R), which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsOn (A={1,2,3,4}), if (aRb) when (a+b=5), which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (R) is a relation and (R^{-1}=R), which conclusion is definite?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (R) and (S) are symmetric relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b) is odd(}). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf (A) has (n) elements, which formula gives the number of symmetric relations on (A)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which property does this relation satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsIf a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsHow many symmetric relations are there on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsFor R={(1,1),(2,2),(3,3),(2,3),(3,2)} on A={1,2,3}, which property does R fail to satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsFor the relation R={(1,2),(2,1),(1,1),(2,2)} on A={1,2,3}, which property does R satisfy?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)}) on (A={1,2,3,4}), choose the correct statement about (R).Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) on (A={1,2,3}), which statement about (R) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Medium MathematicsIf (R=\varnothing) on (A={1,2,3}), is (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Medium