Algebra
LogarithmsQuadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsMathematical ReasoningLinear ProgrammingComplex NumbersTrigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of TrianglesCalculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential EquationsCoordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbolaInverse Trigonometric Functions
Practice QuestionsMCQ (Single Correct Answer)
1
If $ y=\tan ^{-1}\left(\frac{\sqrt{x}-x}{1+x^{\frac{3}{2}}}\right) $, then $ y^{\prime}(1) $ is equal to
BITSAT 2024
2
If $$\cot ^{-1} \sqrt{\cos \alpha}-\tan ^{-1} \sqrt{\cos \alpha}=x$$, then $$\sin x$$ is equal to
BITSAT 2023
3
If $$x \in \left( {0,{\pi \over 2}} \right)$$, then the value of $${\cos ^{ - 1}}\left( {{7 \over 2}(1 + \cos 2x) + \sqrt {({{\sin }^2}x - 48{{\cos }^2}x)\sin x} } \right)$$ is equal to
BITSAT 2022
4
The minimum value of $${({\sin ^{ - 1}}x)^3} + {({\cos ^{ - 1}}x)^3}$$ is equal to
BITSAT 2021