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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(A=\{x:x\in\mathbb{Z},-5\le x<3\}\) and \(B=\{x:x\in\mathbb{Z},-2<x\le 6\}\), then what is \(A\cup B\)?Class 12SetsLevel 18Medium MathematicsIf \(A=\{x\in\mathbb{Z}\mid -4\le x\le4\}\) and \(B=\{x\in\mathbb{Z}\mid x^2\ge9\}\), what is \(A\cap B\)?Class 12SetsLevel 10Medium MathematicsLet \(A=\{x\in\mathbb{Z}:-5\le x\le5\}\) and \(B=\{x\in\mathbb{Z}:x\text{ is odd}\}\). What is \(A\cap B\)?Class 12SetsLevel 16Easy MathematicsIf A = {x ∈ Z : −4 ≤ x ≤ 1} and B = {x ∈ Z : −1 ≤ x ≤ 4}, what is A ∪ B?Class 12SetsLevel 17Easy MathematicsIf \(A=\{x\mid x\) is an integer and \(0\le x<5\}\) and \(B=\{0,1,2,3,4\}\), which statement is true?Class 12SetsLevel 7Easy MathematicsIf A = {x ∈ ℤ : 2x + 1 is even}, what is A?Class 12SetsLevel 4Easy MathematicsIf E = {x : x ∈ ℤ, |x - 2| < 1}, choose the correct option for E.Class 12SetsLevel 4Medium MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Which of the following elements is not its own inverse?Class 12Relations and FunctionsBinary operationsLevel 30Expert MathematicsOn (\mathbb{Z}), (a*b=a+b+3). What is the inverse of (4) under this operation?Class 12Relations and FunctionsBinary operationsLevel 30Expert MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Why does this operation not form a group on the whole set?Class 12Relations and FunctionsBinary operationsLevel 30Expert MathematicsOn integers, (a*b=a+b+2ab) is defined. Is this a binary operation on integers?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn the set of integers, (a*b=a+b-1) is defined. What is the inverse of (7) with respect to this operation?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn (\mathbb{Z}), (a*b=a+b+1). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{Z}), (a*b=a-b). Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{Z}), the operation (a*b=a+b+ab) is defined. Choose the correct statement.Class 12Relations and FunctionsBinary operationsLevel 28Hard MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Which option gives the best analysis for closure?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{Z}), (a*b=a+b-3). What is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{Z}), (a*b=a+b-3) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 28Expert MathematicsOn (\mathbb{Z}), (a*b=a+b+ab). Is it associative on (\mathbb{Z})?Class 12Relations and FunctionsBinary operationsLevel 30Hard MathematicsOn (\mathbb{Z}), (a*b=a+b-1). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsLevel 30Hard