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Algebra
Quadratic Equation and Inequalities
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Sequences and Series
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Mathematical Induction and Binomial Theorem
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Matrices and Determinants
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Permutations and Combinations
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Probability
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Vector Algebra
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3D Geometry
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Statistics
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Complex Numbers
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Trigonometry
Trigonometric Functions & Equations
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Inverse Trigonometric Functions
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Properties of Triangle
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Coordinate Geometry
Straight Lines and Pair of Straight Lines
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Circle
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Parabola
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Ellipse
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Hyperbola
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Calculus
Functions
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Limits, Continuity and Differentiability
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Differentiation
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Application of Derivatives
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Indefinite Integrals
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Definite Integration
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Application of Integration
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Differential Equations
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IIT-JEE 1983
True or False
+1
-0
If $$\tan \,A = \left( {1 - \cos B} \right)/\sin B,$$ then $$tan2A = tan\,B$$.
A
TRUE
B
FALSE
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IIT-JEE 1984 (1) IIT-JEE 1983 (1)
JEE Advanced Subjects
Physics
Mechanics
Units & MeasurementsMotionLaws of MotionWork Power & EnergyImpulse & MomentumRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Geometrical OpticsWave OpticsWave Motion
Modern Physics
Atoms and NucleiDual Nature of Radiation
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryStructure of AtomRedox ReactionsGaseous StateChemical EquilibriumIonic EquilibriumSolutionsThermodynamicsChemical Kinetics and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic Table & PeriodicityChemical Bonding & Molecular StructureIsolation of ElementsHydrogens-Block Elementsp-Block Elementsd and f Block ElementsCoordination CompoundsSalt Analysis
Organic Chemistry
Basics of Organic ChemistryHydrocarbonsHaloalkanes and HaloarenesAlcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsCompounds Containing NitrogenPolymersBiomoleculesChemistry in Everyday LifePractical Organic Chemistry
Mathematics
Algebra
Quadratic Equation and InequalitiesSequences and SeriesMathematical Induction and Binomial TheoremMatrices and DeterminantsPermutations and CombinationsProbabilityVector Algebra3D GeometryStatisticsComplex Numbers
Trigonometry
Trigonometric Functions & EquationsInverse Trigonometric FunctionsProperties of Triangle
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola
Calculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegralsDefinite IntegrationApplication of IntegrationDifferential Equations