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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={1,2,3,4}), (R={(a,b):a-b=1}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). Which counterexample shows that (R) is not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsIf (R) is symmetric and (S\subseteq R), which statement about (S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R={(a,b):a=2b}) on real numbers, why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsWhy is (R={(a,b):a\mid b}) on natural numbers not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R) is a symmetric relation, which statement about (R\setminus S) is always true?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsOn natural numbers, (R={(a,b):a\leq b}) is given. Why is this relation not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R) is symmetric and (R\subseteq S), which statement about (S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R={(x,y):x=2y}) is defined on real numbers, (R) is not symmetric. Which counterexample is correct?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R={(a,b):a\equiv 2b \pmod{5}}) is defined on integers, is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R={(a,b):a=b+2}) on integers, (R) is not symmetric. Which is the correct counterexample?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R={(x,y):x-y>0}) is defined on real numbers, why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R) is symmetric and (S\subseteq R), which conclusion about (S) is always correct?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsFor the relation (R={(a,b):a) divides (b)(}) on natural numbers, what is the correct statement?Class 12Relations and FunctionsSymmetric relationLevel 12HardMathematicsOn integers, the relation (R={(a,b):a-b=3}) is given. Why is it not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12HardMathematicsIf (A={1,2,3,4}) and (R={(a,b):a\le b}), why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a+2b\text{ is even}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) is symmetric, which statement is always true about (R\setminus S)?Class 12Relations and FunctionsSymmetric relationLevel 11Hard