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Mathematics

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

MathematicsWhat is correct about the relation R = {(x, y): y = |x|, x ∈ {−2, −1, 0, 1, 2}, y ∈ {0, 1, 2}}?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f: ℝ → ℝ is given by f(x) = |x − 2| + 3, what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium 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 MathematicsIf f: ℝ → ℝ is given by f(x) = 1/(x² − 9), what should be the domain to make it a valid real function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium 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 MathematicsIf in an arrow diagram of a relation, one element of A points to two different elements of B, what is the conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Easy MathematicsLet A={0,1,2,3} and f(x)=x²−3x+2. Which ordered pair will not be in the graph of f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsLet A={1,2,3,4}, B={a,b}, and f(1)=a, f(2)=a, f(3)=b, f(4)=b. Which statement is correct?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsConsider R={(x,y)∈N×N:y=x+2} from N to N. Which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf f:A→B, A={1,2,3,4}, B={0,1,2}, and f(x) gives the remainder when x is divided by 3, what is f(4)?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 MathematicsThe relation R={(x,y)∈A×B:y=x+1}, where A={1,2,3} and B={2,3,4,5}, is of which type?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard 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 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:{1,2,3,4}→{1,4,9,16} is defined by f(x)=x², what is the preimage of 9?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f:{1,2,3}→{1,8,27} is defined by f(x)=x³, which are the ordered pairs of f?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f(a)=b, what is a called for b?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium 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