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Mathematics

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

MathematicsIf A = {a, c, e, g} and B = {b, c, d, g}, what is B − A?Class 12SetsLevel 18Easy MathematicsIf A = {1, 4, 7, 10} and B = {2, 4, 6, 10}, what is A ∩ B?Class 12SetsLevel 18Easy MathematicsIf A = {2, 4, 6, 8} and B = {6, 8, 10, 12}, what is A ∪ B?Class 12SetsLevel 18Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 3, 5}, and B = {2, 3, 4}, what is A ∪ B?Class 12SetsLevel 17Easy MathematicsIf A = {0, 2, 4, 6} and B = {1, 3, 5}, what is A − B?Class 12SetsLevel 17Easy MathematicsIf A = {1, 4, 9, 16} and B = {4, 16, 25}, what is A − B?Class 12SetsLevel 17Easy MathematicsIf A = {1, 3, 5} and B = {1, 2, 3, 4, 5}, what is B − A?Class 12SetsLevel 17Easy MathematicsIf A = {1, 2, 3, 4}, B = {2, 3, 5}, and C = {3, 6}, what is A ∩ B ∩ C?Class 12SetsLevel 17Easy MathematicsIf A = {0, 1, 2, 3} and B = {2, 3, 4, 5}, what is A − B?Class 12SetsLevel 17Easy MathematicsIf n(A) = 5, n(B) = 4, and n(A ∩ B) = 2, what is n(A ∪ B)?Class 12SetsLevel 17Easy MathematicsIf only A has 38 elements, only B has 35 elements, only C has 29 elements, exactly two sets together have 47 elements, and all three sets have 14 elements, what is n(A∪B∪C)?Class 12SetsLevel 15Medium MathematicsIf n(A ∪ B ∪ C) = 162, exactly one set contains 73 elements and exactly two sets contain 56 elements, then what is n(A ∩ B ∩ C)?Class 12SetsLevel 15Medium MathematicsIf n(A ∪ B) = 76, n(A − B) = 31, and n(B − A) = 27, what is n(A ∩ B)?Class 12SetsLevel 11Medium MathematicsFor three sets, n(A) = 48, n(B) = 50, n(C) = 44, n(A ∩ B) = 20, n(B ∩ C) = 18, n(C ∩ A) = 16, and n(A ∩ B ∩ C) = 7. What is n(A ∪ B ∪ C)?Class 12SetsLevel 13Hard MathematicsIf \(A=\begin{bmatrix}3&0\\0&3\end{bmatrix}\), which statement is correct?Class 12MatrixTypes of matricesLevel 34Easy MathematicsWhich option is the \(2\times2\) identity matrix?Class 12MatrixTypes of matricesLevel 34Easy MathematicsWhat type of matrix is (A=\begin{bmatrix}1&0\\0&1\end{bmatrix})?Class 12MatrixIntroduction to matricesLevel 34Easy MathematicsWhat is the order of the matrix \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\)?Class 12MatrixOrder of a matrixLevel 34Easy MathematicsWhen is (\cos^{-1}x=\frac{\pi}{2}-\sin^{-1}x) true?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsLevel 32Medium MathematicsWhat is the domain of \(\tan^{-1}(x^2+1)\)?Class 12Inverse Trigonometric FunctionsDomain and rangeLevel 32Medium