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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।

MathematicsFor real numbers, which statement is correct about (a*b=a^2+b^2)?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsIf every entry in the table of a binary operation belongs to the same set, what does it indicate?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhy is usual multiplication a binary operation on the set ({0,1})?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhy can (a*b=\sqrt{a+b}) not be considered a binary operation on (\mathbb{N})?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsOn the set (\mathbb{Q}), (a*b=a+b) is defined. Why is it a binary operation?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsHow is usual multiplication (\times) on the set of integers (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsIf (a,b\in A) implies (a*b\in A), which property does this show?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhat is the correct meaning of a binary operation on a set (A)?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsIf an equivalence relation on (A={1,2,3}) contains ((1,2)) and ((2,3)), what is the minimum number of pairs in (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). What must be done to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={0,1,2}), (R={(a,b):a+b\text{ is divisible by }3}) is given. How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,2),(3,1)}) is given. Which pair must be added at minimum to make it reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn (A={1,2,3}), what must be minimally added to make (R={(1,2),(2,1)}) transitive?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn A={1,2,3}, what is the smallest addition to R={(1,2),(2,3)} that makes R transitive?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsWhich single pair should be added to R={(1,1),(2,2),(3,3),(1,2)} so that it becomes an equivalence relation on A={1,2,3}?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsWhich pair is not present in the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(3,1)}?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsWhich pair must belong to the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(4,4)}?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert