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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।

MathematicsIf (f:A\to B) is one-one and (g:B\to C) is not one-one, which statement about (g\circ f) is not necessarily true?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn integers, (aRb) if and only if (a+b) is even. Which of the following statements is correct?Class 12Relations and FunctionsEquivalence relationExpert MathematicsWhich of the following relations is generally transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsWhich relation can be immediately identified as transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsIf (R) and (S) are both transitive relations, is (R\cup S) always transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn (A={1,2,3}), relation (R={(1,2),(2,1),(2,3),(3,2),(1,1)}) is given. Choose the correct option.Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (R=R^{-1}), what can be said about (R)?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich of the following statements is false?Class 12Relations and FunctionsSymmetric relationMedium MathematicsWhich relation is generally not symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R) and (S) are both reflexive relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a\le b}). Why does (R) satisfy reflexivity?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,3)}). Is (R) transitive?Class 12Relations and FunctionsTypes of relationsMedium MathematicsA relation (R) contains both ((a,b)) and ((b,a)), where (a\ne b). Which property is not guaranteed by this information alone?Class 12Relations and FunctionsTypes of relationsMedium