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Relations And Functions

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

MathematicsWhat is the inverse of the function f(x) = x − 4?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsWhat is the function (f:R\to R), (f(x)=x), called?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsIf f(x) = 3x − 1, what is the value of f(2) + f(0)?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsFor the function (f:R\to R), (f(x)=x+5), what is (f(0))?Class 12Relations and FunctionsFunctionsLevel 19Easy MathematicsWhich of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a\le b}) is given. Why is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 15Hard MathematicsOn A = {1, 2, 3}, let R = {(1,2), (2,2), (2,3), (1,3)}. Is R transitive?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsA relation (R) on a set (A) is called transitive when which condition is true for all (a,b,c \in A)?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsWhat is the best exam method for a question on transitive relation?Class 12Relations and FunctionsTransitive relationLevel 14Easy MathematicsWhich statement is false?Class 12Relations and FunctionsTransitive relationLevel 14Easy MathematicsWhich relation correctly satisfies the condition of transitivity?Class 12Relations and FunctionsTransitive relationLevel 14Easy MathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsIf A has 5 elements, what is the number of symmetric relations on A?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsHow many symmetric relations can be formed on A = {1, 2, 3}?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) is defined. What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) is given. Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor any relation R, which statement about R ∪ R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3}) and (R={(a,b):a+b\text{ is even}}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsHow many symmetric relations can be formed on A={1,2,3}?Class 12Relations and FunctionsSymmetric relationLevel 12Hard