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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।

MathematicsWhich is the correct domain interval of \(\cos^{-1}(3x-1)\)?Class 12Inverse Trigonometric FunctionsDomain and rangeLevel 32Medium MathematicsWhat is cos⁻¹(−x) equal to, where x ∈ [−1,1]?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsLevel 31Medium MathematicsWhat is (\sin^{-1}(-x)) equal to?Class 12Inverse Trigonometric FunctionsGraphs of inverse trigonometric functionsLevel 31Medium MathematicsWhat is (\tan^{-1}x+\cot^{-1}x), where (x>0)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsLevel 31Medium MathematicsWhat is cos⁻¹(−x) equal to when x ∈ [−1, 1]?Class 12Inverse Trigonometric FunctionsPrincipal value branchLevel 33Medium MathematicsWhat condition on x makes sin⁻¹x real?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsLevel 33Easy MathematicsWhat is the horizontal limiting value of tan⁻¹x when x is very large and negative?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsLevel 32Easy MathematicsHow does cos⁻¹x behave on its domain [−1, 1]?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsLevel 32Easy MathematicsWhat is the value of tan⁻¹(tan(π/6))?Class 12Inverse Trigonometric FunctionsPrincipal value branchLevel 31Easy MathematicsWhat is the domain of tan⁻¹x?Class 12Inverse Trigonometric FunctionsDomain and rangeLevel 31Easy MathematicsIf n(A)=72, n(B)=68, and exactly one set has 82 elements, what is n(A ∩ B)?Class 12SetsLevel 15Hard MathematicsIf n(A ∪ B ∪ C) = 95, exactly one set contains 46 elements, and exactly two sets contain 33 elements, what is n(A ∩ B ∩ C)?Class 12SetsLevel 15Hard MathematicsIf only A has 12, only B has 15, only C has 10, exactly two has 33, all three has 9, and outside has 21, what is n(U)?Class 12SetsLevel 15Medium MathematicsIf n(A−B)=20, n(A∩B)=15, and n(B)=47, find n(B−A).Class 12SetsLevel 10Medium MathematicsIn a Venn diagram, n(A−B)=31, n(B−A)=37, n(A∩B)=24, and n((A∪B)ᶜ)=18. What is n(Aᶜ)?Class 12SetsLevel 10Medium MathematicsU = {1, 2, 3, ..., 120}; A is the set of numbers divisible by 3, B by 4, and C by 12. Which relation is correct?Class 12SetsLevel 14Easy MathematicsIf n(U) = 190, n(A) = 74, and n(B) = 91, what is the maximum possible value of n(A ∩ B)?Class 12SetsLevel 10Medium MathematicsIf n(U) = 160, n(A) = 92, and n(B) = 83, what is the minimum possible value of n(A ∩ B)?Class 12SetsLevel 10Hard MathematicsIf n(A ∪ B) = 148, n(A − B) = 52, and n(B − A) = 43, what is n(A ∩ B)?Class 12SetsLevel 10Medium MathematicsIf n(A ∩ Bᶜ) = 44, n(Aᶜ ∩ B) = 36, and n(A △ B) = 92, what is the correct conclusion about the data?Class 12SetsLevel 11Medium