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1
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The general solution of $$2 \cos 4 x+\sin ^2 2 x=0$$ is

A
$$x=\frac{n \pi}{2} \pm \sin ^{-1}\left(\frac{1}{5}\right)$$
B
$$x=\frac{n \pi}{4}+\frac{(-1)^n}{4} \sin ^{-1}\left( \pm \frac{2 \sqrt{2}}{3}\right)$$
C
$$x=\frac{n \pi}{2} \pm \cos ^{-1}\left(\frac{1}{5}\right)$$
D
$$x=\frac{n \pi}{4}+\frac{(-1)^n}{4} \cos ^{-1}\left(\frac{1}{5}\right)$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

Find the general solution of $$\sin 2x + \cos x = 0$$.

A
$$(n \pm 1){\pi \over 2}$$
B
$$n\pi \pm {\pi \over 2}$$
C
$$n\pi + {( - 1)^n}{{7\pi } \over 6}$$ or $$(2n \pm 1){\pi \over 2}$$
D
None of the above
3
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$\sin 2x = 4\cos x$$, then x is equal to

A
$${{n\pi } \over 2}\, \pm \,{\pi \over 4},n \in Z$$
B
no value
C
$$n\pi + {( - 1)^n}{\pi \over 4},n \in Z$$
D
$$2n\pi \, \pm \,{\pi \over 2},n \in Z$$
4
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $$\sin 3\theta = \sin \theta $$, how many solutions exist such that $$ - 2\pi < \theta < 2\pi $$?

A
9
B
8
C
7
D
5
Questions Asked from MCQ (Single Correct Answer)
COMEDK 2023 Morning Shift (1) COMEDK 2022 (1) COMEDK 2021 (1) COMEDK 2020 (1)
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Physics
Mechanics
Units & MeasurementsVector AlgebraMotionLaws of MotionCircular MotionWork, Energy and PowerCenter of Mass and CollisionRotational MotionElasticityFluid MechanicsHeat and ThermodynamicsGravitationSimple Harmonic MotionWaves
Optics
Ray OpticsWave Optics
Electromagnetism
ElectrostaticsCurrent ElectricityCapacitorMoving Charges and MagnetismMagnetism and MatterElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Modern Physics
Atoms and NucleiDual Nature of RadiationSemiconductor Devices and Logic GatesCommunication Systems
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryAtomic StructureStates of MatterThermodynamicsChemical EquilibriumIonic EquilibriumLiquid SolutionRedox ReactionsSurface ChemistrySolid StateElectrochemistryChemical KineticsNuclear Chemistry
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Periodic Table and PeriodicityChemical Bonding and Molecular StructureHydrogen and It's Compoundss-Block Elementsp-Block Elementsd and f Block ElementsMetallurgyCoordination CompoundsEnvironmental Chemistry
Organic Chemistry
IUPAC NomenclaturesGeneral Organic ChemistryIsomerismHydrocarbonsHaloalkanes and HaloarenesAlcohol, Phenols and EthersAldehyde and KetoneCarboxylic Acids and Its DerivativesCompounds Containing NitrogenPolymersBiomoleculesChemistry in Everyday LifePractical Organic Chemistry
Mathematics
Algebra
Sets and RelationsLogarithmsComplex NumbersQuadratic EquationsSequences and SeriesPermutations and CombinationsProbabilityBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsMathematical ReasoningLinear Programming
Trigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of Triangles
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola
Calculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential Equations