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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 natural numbers, (a*b=a-b). Is this operation closed on natural numbers?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn integers, (a*b=a+2b). Is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn real numbers, (a*b=a^2+b^2). Is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsOn real numbers, (a*b=a-b). Is this operation commutative?Class 12Relations and FunctionsBinary operationsLevel 29Medium MathematicsFor (a*b=a+b) on the set of odd integers, what is the correct statement about closure?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsIf (a*b=a-b+ab), what is the correct conclusion using (1*2) and (2*1)?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsIf (a*b=\frac{a+b}{2}), is this operation associative?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsOn natural numbers, (a*b=a-b) is given. Which example disproves closure?Class 12Relations and FunctionsBinary operationsLevel 28Medium MathematicsOn integers, the operation (a\ast b=\frac{a+b}{2}) is given. Is it a binary operation on (Z)?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsFor the operation (a\ast b=a-b) on integers, which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 29Easy MathematicsWhy is (a*b=a-b) not associative on real numbers?Class 12Relations and FunctionsBinary operationsLevel 28Easy MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x^2})?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2), is not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which option is correct?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^2}{1+x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\min{x,1}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\ln(x^2)), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3-n), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionLevel 24Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+|x|), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 24Expert