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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।

MathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn the set (A={1,2,3,4,5}), the relation (R={(a,b):a+b\text{ is even}}) is given. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsWhich of the following statements is false?Class 12Relations and FunctionsSymmetric relationLevel 11MediumMathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 11MediumMathematicsWhich relation on A = {1,2,3} is symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12EasyMathematicsIn which situation will a relation R be called symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12EasyMathematicsOn the set (A={1,2}), the relation (R={(1,1),(1,2),(2,1)}) is given. What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 12EasyMathematicsWhile checking a symmetric relation, what should be checked first?Class 12Relations and FunctionsSymmetric relationLevel 11EasyMathematicsWhich statement is false?Class 12Relations and FunctionsSymmetric relationLevel 10EasyMathematicsWhich statement is always true?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn A = {1, 2, 3}, let R = {(a, b) : a + b = 4}. Why is R not reflexive?Class 12Relations and FunctionsReflexive relationLevel 8MediumMathematicsIf set A has 4 elements, how many reflexive relations are possible on A?Class 12Relations and FunctionsReflexive relationLevel 8MediumMathematicsChoose the correct statement about the identity relation (I_A) on a set (A).Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsFor a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?Class 12Relations and FunctionsTypes of relationsLevel 6HardMathematicsWhich relation on (A={1,2,3}) is transitive?Class 12Relations and FunctionsTypes of relationsLevel 4MediumMathematicsLet A={1,2,3}. If a symmetric relation R on A must contain (1,2), how many such relations are possible?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium