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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।

MathematicsWhat is the real domain of f(x) = √(8 − x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 32Easy MathematicsIf f(x) = 2√x, what is its real domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the range of f(x) = 3 − |x|?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsWhat is the range of f(x) = 5?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsWhat is the range of f(x) = x² when the domain is ℝ?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Easy MathematicsIf f: ℝ → ℝ is defined by f(x) = x² + 1 for x ≤ −1 and f(x) = 2 − x for x > −1, what is f(−1)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Easy MathematicsIf f: ℝ → ℝ is given by f(x) = (x² + 9)/(x² + 3), what is the range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 31Medium MathematicsIf f: ℝ → ℝ is given by f(x) = 3x − 2 for x < 4 and f(x) = x² − 10 for x ≥ 4, what is f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {1,2,3,4,5}, B = {1,2,3,4,5}, and R = {(x,y): x + y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIn which option is the relation not a function from A = {1,2,3,4,5} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Medium MathematicsIf A = {r, s, t, u} and B = {1, 2, 3, 4}, how many functions from A to B have range exactly {1, 3, 4}?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsThe relation R = {(x,y): y² = x − 1, x ∈ {2,5,10}, y ∈ {−3,−2,−1,1,2,3}} is considered from X = {2,5,10} to Y = {−3,−2,−1,1,2,3}. What is the correct conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 30Hard MathematicsIf A = {1, 2} and B = {a, b, c}, how many subsets of A × B are not functions from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {0, 1}, how many functions f: A → B have at least two inputs with image 1?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Hard MathematicsIf f: {0, 1, 2, 3} → {0, 1, 2, 3} is given by f(x) = x² − 2x + 1, is f a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4}, and R = {(x, y): x − y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsThe relation R = {(x,y): x² + y² = 4, x ∈ {-2,0,2}, y ∈ {-2,0,2}} is considered from X to Y. Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIn which option is the relation not a function from A = {0,1,2,3} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 29Medium MathematicsIf f: R → R is given by f(x) = {x + 1 for x ≤ 2; x² for x ≥ 2}, why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Hard MathematicsIf A={1,2,3,4} and B={0,1}, how many functions f:A→B have at least one input with image 1?Class 11Relations and FunctionsFunctions as a special kind of relationLevel 28Expert