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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 (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) satisfy (f(1)=a) or (f(2)=b)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf \(A=\{1,2,3\}\) and \(B=\{0,1,2\}\), how many functions from \(A\) to \(B\) satisfy \(f(1)<f(2)<f(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf (A={1,2,3,4}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)) and (f(3)\ne f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert MathematicsIf \(f:\{0,1,2,3\}\to\{0,1,2,3\}\) is defined such that \(f(x)\) is the remainder obtained when \(x\) is divided by 3, which of the following statements is correct?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 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 MathematicsIf A = {1, 2, 3}, B = {0, 1}, and R = {(x, y): y ≡ x (mod 2)}, what is correct about R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsThe relation \(R=\{(x,y): y^2=x,\ x\in X,\ y\in Y\}\) is defined from \(X=\{1,4,9\}\) to \(Y=\{-3,-2,-1,1,2,3\}\). Why is this relation not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (A={0,1,2}) and (B={3,4,5}), how many total functions are possible from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf (A={1,2,3}) and (B={a,b}), which statement about the relation (R={(1,a),(2,b),(3,a),(2,a)}) 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 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 MathematicsLet A={−2,−1,0,1,2} and f:A→Z be defined by f(x)=x²−1. What is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsIf f:A→B, A={1,2,3,4}, B={0,1}, and f(x)=0 for even x while f(x)=1 for odd x, what is f⁻¹({0})?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf f:{0,1,2}→{0,1,2,3,4} is defined by f(x)=x², what is the graph of f as a set of ordered pairs?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf \(f:A\to B\) is a function and \(f=\{(a,1),(b,2),(c,1),(d,3)\}\), what is \(A\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 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 \(f:A\to B\) is a function where \(A=\{1,2,3\}\), \(B=\{a,b,c,d\}\), and \(f=\{(1,a),(2,b),(3,b)\}\), what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Hard 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 MathematicsIn a function f: A → B, what is A called?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Easy MathematicsIf \(f:\{1,2,3,4\}\to\{0,1\}\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium