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Class 11 Mcq

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

MathematicsThe relation R = {(x,y): |x-y| = 1, x ∈ {1,2,3}, y ∈ {1,2,3,4}} is considered from X to Y. Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf f: {1,2,3,4} → {1,2,3,4} is given by f(x) = x² - 4x + 5, which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf f: R → R is given by f(x) = x² + 2x + 5, what is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Medium MathematicsIf f: Z → Z is given by f(n) = (n² + n)/2, which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Medium MathematicsIf R = {(x, y): x = |y|, x ∈ {0, 1, 2}, y ∈ {−2, −1, 0, 1, 2}} is considered from X = {0, 1, 2} to Y = {−2, −1, 0, 1, 2}, what is R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf f: A → B has |A| = 5 and |B| = 2, the number of all relations is 2¹⁰. How many of these are functions?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf R = {(x, y): y = x², x ∈ [−2, 2], y ∈ [0, 4]}, what is correct about R?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {1, 2, 3}, B = {1, 2, 3}, why cannot f(x) = x² be called a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium 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 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 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