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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 (\mathbb{R}), (a*b=a^2+b^2). Why is this operation commutative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn integers, (a*b=a^2+b^2). Is this operation closed?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a^2+b) and (2*x=9), what is the value of (x)?Class 12Relations and FunctionsBinary operationsMedium MathematicsIf (a*b=a^2+b^2), why is this operation commutative?Class 12Relations and FunctionsBinary operationsEasy MathematicsIf (a*b=a^2+b^2), what is the value of (2*3)?Class 12Relations and FunctionsBinary operationsEasy MathematicsWhy is (a*b=a^2+b^2) commutative on real numbers?Class 12Relations and FunctionsBinary operationsEasy MathematicsOn (A={-2,-1,0,1,2}), (xRy) if (x^2=y^2). What is the equivalence class of (2)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn integers, (aRb) if (a^2\equiv b^2 \pmod{5}). What type of relation is this?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn real numbers, (aRb) is defined when (a^2=b^2). Why is this relation transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsIf (R={(a,b):a^2+b^2=25}) is defined on integers, what is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={-1,0,1}), (R={(a,b):a^2=b^2}). What type is (R) with respect to symmetry?Class 12Relations and FunctionsSymmetric relationMedium Mathematics(R={(a,b):a^2=b^2}) is given on real numbers. Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationMedium MathematicsThe relation (R={(a,b):a^2+b^2=10}) is given on real numbers. What is it?Class 12Relations and FunctionsSymmetric relationEasy MathematicsWhich condition will give a symmetric relation?Class 12Relations and FunctionsSymmetric relationEasy MathematicsOn (A={-3,-2,-1,0,1,2,3}), (R={(a,b):a^2+b^2\leq9}). How many diagonal pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a\mid b^2}), why is (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5,6}) and (R={(a,b):a^2+b^2\text{ is divisible by }10}), how many diagonal pairs are already in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={-2,-1,0,1,2}) and (R={(a,b):a^2+b^2\leq 4}), how many pairs must be added to make (R) reflexive?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a^2+b^2\text{ is divisible by }5}), how many diagonal pairs are in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (A={1,2,3,4}) and (R={(a,b):a^2-b^2\text{ is odd}}), what is (R) with respect to reflexivity?Class 12Relations and FunctionsReflexive relationExpert