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Algebra
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Sequences and Series
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Sets and Relations
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Binomial Theorem
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Vector Algebra
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Matrices and Determinants
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Statistics
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Mathematical Reasoning
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Linear Programming
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Complex Numbers
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Trigonometry
Trigonometric Ratios & Identities
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Trigonometric Equations
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Inverse Trigonometric Functions
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Properties of Triangles
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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 Integration
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Definite Integration
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Area Under The Curves
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Differential Equations
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Coordinate Geometry
Straight Lines and Pair of Straight Lines
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1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
General solution of the differential equation $\frac{d y}{d x}+y \tan x=\sec x$ is
A
$y \sec x=\tan x+c$
B
$y \tan x=\sec x+c$
C
$\operatorname{cosec} x=y \tan x+c$
D
$x \sec x=\tan y+c$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If ' $a$ ' and ' $b$ ' are the order and degree respectively of the differentiable equation. $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+x^4=0$, then $a-b=$ $\qquad$
A
1
B
2
C
-1
D
0
3
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The solution of $e^{d y / d x}=x+1, y(0)=3$ is

A
$y-2=x \log x-x$
B
$y-x-3=x \log x$
C
$y-x-3=(x+1) \log (x+1)$
D
$y+x-3=(x+1) \log (x+1)$
4
KCET 2024
MCQ (Single Correct Answer)
+1
-0

The family of curves whose $x$ and $y$ intercepts of a tangent at any point are respectively double the $x$ and $y$ coordinates of that point is

A
$x y=C$
B
$x^2+y^2=C$
C
$x^2-y^2=C$
D
$\frac{y}{x}=C$
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Questions Asked from MCQ (Single Correct Answer)
KCET 2025 (2) KCET 2024 (2) KCET 2023 (2) KCET 2022 (4) KCET 2021 (2) KCET 2020 (3) KCET 2019 (3) KCET 2018 (3) KCET 2017 (3)
KCET Subjects
Physics
Mechanics
Units & Measurement and DimensionsVector AlgebraMotion in a Straight LineMotion in a PlaneLaws of MotionCircular MotionWork, Energy and PowerCenter of Mass and CollisionRotational MotionGravitationSimple Harmonic MotionFluid MechanicsElasticityWavesHeat and Thermodynamics
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
Inorganic Chemistry
Periodic Table and PeriodicityChemical Bonding and Molecular StructureMetallurgyHydrogen and It's Compoundss-Block Elementsp-Block Elementsd and f Block ElementsCoordination CompoundsSalt AnalysisEnvironmental Chemistry
Organic Chemistry
IUPAC NomenclaturesGeneral Organic ChemistryIsomerismHydrocarbonsHaloalkanes and HaloarenesAlcohol, Phenols and EthersAldehyde and KetoneCarboxylic Acids and Its DerivativesCompounds Containing NitrogenPolymersBiomoleculesChemistry in Everyday Life
Mathematics
Algebra
LogarithmsQuadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsMathematical ReasoningLinear ProgrammingComplex Numbers
Trigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of Triangles
Calculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential Equations
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola