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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich option gives a valid function (f:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf f: Z → Z is given by f(n) = (n² + n)/2, which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf (f:{1,2,3}\to{1,2,3,4,5}) and (f(x)=2x-1), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsWhich option gives a valid function (g:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf A = {1, 2, 3}, B = {1, 2, 3}, why cannot f(x) = x² be called a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf (f:{1,2,3,4}\to{1,2,3,4}) is given by (f(x)=x^2-3x+4), is (f) a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf \(A=\{1,2,3\}\), \(B=\{1,4,9,16\}\), and \(R=\{(x,y):y=x^2\}\) is a relation from \(A\) to \(B\), which of the following statements is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsA function (f:\mathbb{Z}\to\mathbb{Z}) is claimed to be defined by (f(x)=\frac{x+1}{2}). Why is this claim false?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (A={1,2,3}), (B={1,2,3,4}), and (f(x)=x+1), which statement about (f) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsThe function (f:{1,2,3,4}\to\mathbb{N}) is defined by (f(x)=\frac{12}{x}). Which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsLet f:{1,2,3}→{2,3,4}, f(x)=x+1, and g:{1,2,3}→{2,3,4,5}, g(x)=x+1. Are f and g equal functions?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsWhy is writing (f(x)=x) not a valid function from (A={1,2,3,4}) to (B={1,2,3})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsIf (A={a,b,c}), (B={1,2}), and (f(a)=1), (f(b)=2), (f(c)=2), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsGiven f:{1,2,3}→{1,2,3,4,5} with f(x)=2x, why is this function not well-defined?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf relation (R) is defined by (R={(x,y):y=2x,\ x\in{1,2,3}}), what can be the smallest codomain so that (R) is a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsWhich relation from A={1,2,3} to B={p,q} represents a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsIf A={1,2,3} and f(x)=x²+1, to which codomain can f be considered a function from A?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf (A={1,2,3}), (B={a,b,c,d}), and (f={(1,a),(2,b),(3,c)}), what is true about (d)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf A = {1, 2, 3}, B = {1, 3, 5, 7}, and f(x) = 2x − 1, what is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsIf \(A=\{1,2,3\}\) and \(B=\{0,1,2\}\), and \(f:A\to B\) is defined by \(f(x)\) being the remainder when \(x\) is divided by 2, what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium