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Relations And Functions

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

MathematicsIf A={1,2,3}, B={5,6,7}, and R={(1,5),(2,6),(2,7),(3,5)}, which element breaks the function condition?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {1, 2, 3} and B = {a, b, c}, which option is not a function because one domain element is missing?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsIf A = {1, 2, 3}, B = {u, v, w}, and f = {(1, u), (2, v), (3, w)}, what is the range of f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsLet \(A=\{1,2,3\}\), \(B=\{a,b,c\}\), and \(R=\{(1,a),(2,b),(3,a)\}\). What is the correct classification of \(R\) from \(A\) to \(B\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf A = {1, 2, 3} and B = {4, 5, 6}, which relation is a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsIf the function \(f:\{1,2,3,4\}\to\{1,2\}\) is defined by \(f(x)=1\) when \(x\le 2\), and \(f(x)=2\) when \(x>2\), what is the value of \(f(2)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf f: ℝ → ℝ is defined by f(x) = |x|, which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsIf \(f:\{1,2,3\}\to\{2,5,10\}\) is defined by \(f(x)=x^2+1\), what is the value of \(f(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf A = {0, 1, 2}, B = {1, 2, 3, 4}, and f(x) = x + 2, which ordered pair does not belong to f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsIf f(a)=b in f:A→B, what is b called for a?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Easy MathematicsIf h:{1,2,3,4} → {0,1} is defined by h(x)=1 when x>2 and h(x)=0 when x≤2, what is h(2)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Easy MathematicsIf f:R → R is defined by f(x) = 1/x, which reason prevents it from being a function on all of R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf \\(f:\{1,2,3,4\}\to\{1,8,27,64\}\\) and \\(f(x)=x^3\\), what is the value of \\(f(4)\\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf f:{1,2,3} → {1,4,9} is defined by f(x) = x², which are the ordered pairs of f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Easy MathematicsIf \(A=\{1,2,3\}\) and \(B=\{5,6,7\}\), which first component in \(R=\{(1,5),(2,6),(2,7),(3,5)\}\) violates the condition for a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf \(f(x)=x^2\) and its domain is \(A=\{-1,0,1\}\), which idea does this function illustrate?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf A={2,3,4} and R={(x,y):y=x+2, x∈A}, what is R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf R={(1,1),(2,2),(2,3)}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsWhich of the following is a constant function from the set A={1,2,3} to the set B={a,b}?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf f(x)=y for an output y∈B, what can x be called?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy