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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।

MathematicsIf (f:{1,2,3,4}\to{1,2,3,4}) is given by (f(x)=x) when (x) is even and (f(x)=5-x) when (x) is odd, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={1,2}), how many subsets of (A\times B) are functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich piecewise rule will not define a function on (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+1,&x<0\x^2,&x\ge0\end{cases}), what is (f(0))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich option gives a valid function (g:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={a,b,c}) and (B={1,2,3,4}), how many functions from (A) to (B) satisfy (f(a)=2)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is to be given by (f(x)=\sqrt{4-x^2}), which is the correct domain?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhat is the range of the relation (R={(x,y):y=\frac{x}{|x|},\ x\in{-3,-2,-1,1,2,3}})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:{1,2,3,4,5}\to{0,1}) is given by (f(x)=0) when (x) is even and (f(x)=1) when (x) is odd, what is (f^{-1}({0}))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2), why is (f^{-1}) as a relation not a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation has the complete set of first components (A={1,2,3,4}) but still is not a function from (A) to (B={a,b,c})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3,4}) and (B={1,2}), how many functions from (A) to (B) have range exactly ({1})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhat is correct about (R={(x,y):y^3=x,\ x\in{-8,-1,0,1,8},\ y\in{-2,-1,0,1,2}})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{x^2-4}{x-2}), why is the claim that it is a function on all of (\mathbb{R}) false?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich relation below is a function from (A={0,1,2}) to (B={0,1,2,3}) but has the same image for two elements of (A)?Class 11Relations and FunctionsFunctions as a special kind of relationHard 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 relationHard 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 relationHard MathematicsIf (A={1,2,3,4}) and (B={a,b,c}), how many functions (f:A\to B) satisfy (f(1)=f(2))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich option gives a rule that is not a function from (\mathbb{R}) to (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhat is the minimum change to make (R={(1,2),(2,3),(2,4),(3,5)}) a function from (A={1,2,3}) to (B={2,3,4,5})?Class 11Relations and FunctionsFunctions as a special kind of relationHard