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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।

MathematicsHow many functions from a (4)-element set to a (5)-element set are not one-one?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsLet f and g be polynomial functions and \(h(x)=\frac{f(x)}{g(x)}\). If \(g(a)=0\), which statement about h at \(x=a\) is necessarily true?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39ExpertMathematicsWhich is the correct classification of the function \(h:\mathbb{R}\to\mathbb{R}\), where \(h(x)=x^3+x\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 39HardMathematicsFor a quotient function \(h(x)=\frac{p(x)}{q(x)}\), which condition is necessary for a value of \(x\) to belong to its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39MediumMathematicsIf \(f(x)=x^2-3x+2\) and \(g(x)=x-1\), what is \(\left(\frac{f}{g}\right)(3)\) for \(x \neq 1\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=\sqrt{x}) and (g(x)=\sqrt{x}), what are ((fg)(x)) and its domain?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsWhich condition is necessary for a relation from set A to set B to be called a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 38MediumMathematicsIf (f(x)=x^2+1) and (g(x)=x^2-1), what is ((f-g)(5))?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=\frac{1}{\sqrt{x-1}}\) and \(g(x)=x\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=x^2+6x+9\) and \(g(x)=x+3\), what is \(\left(\frac{f}{g}\right)(0)\) for \(x \neq -3\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=2x+1\) and \(g(x)=x-2\), what is the value of \((3f+2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=\frac{x-2}{x+1}) and (g(x)=\frac{x+3}{x+1}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=x^2-5x) and (g(x)=3x), what are the zeroes of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=x^2+2) and (g(x)=2x), what are the solutions of ((f-g)(x)=0)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=x^2) and (g(x)=x+2), what is the value of ((f+g)(x)-(fg)(x)) at (x=1)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=x^2+3x+2\) and \(g(x)=x+1\), what is \(\left(\frac{f}{g}\right)(2)\) for \(x \neq -1\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf (f(x)=\sqrt{9-x^2}) and (g(x)=x+1), what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=x^2-16\) and \(g(x)=x+4\), what is the correct value of \(\left(\frac{f}{g}\right)(-1)\) for \(x \neq -4\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=x^2-16\) and \(g(x)=x+4\), what is \(\left(\frac{f}{g}\right)(-1)\) for \(x \neq -4\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38MediumMathematicsIf \(f(x)=\frac{1}{x-1}\) and \(g(x)=x+3\), what is the domain of \(\left(\frac{g}{f}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium