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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।

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: ℝ → ℝ is given by f(x) = (x² + 4)/(x² + 1), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 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 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