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IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
For what value of $t$ does $f(x)=x^3+t x^2+(2-t) x-3$ have only real roots?
A
$t=0$.
B
$t=4$.
C
$t=2$.
D
$t=-1$
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IAT (IISER) 2024 (1) IAT (IISER) 2020 (3)
IAT (IISER) Subjects
Physics
Mechanics
Units & Measurement and DimensionsMotion in a Straight LineLaws of MotionCircular MotionWork, Energy and PowerRotational MotionGravitationSimple Harmonic MotionFluid MechanicsWavesHeat and Thermodynamics
Optics
Ray Optics
Electromagnetism
ElectrostaticsCurrent ElectricityCapacitorMoving Charges and MagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Modern Physics
Atoms and NucleiDual Nature of RadiationSemiconductor Devices and Logic Gates
Chemistry
Physical Chemistry
Atomic StructureStates of MatterThermodynamicsChemical EquilibriumIonic EquilibriumLiquid SolutionSurface ChemistrySolid StateElectrochemistryChemical Kinetics
Inorganic Chemistry
Periodic Table and PeriodicityChemical Bonding and Molecular StructureMetallurgyHydrogen and It's Compoundsp-Block ElementsCoordination Compounds
Organic Chemistry
General Organic ChemistryIsomerismHydrocarbonsHaloalkanes and HaloarenesAlcohol, Phenols and EthersCarboxylic Acids and Its DerivativesCompounds Containing NitrogenBiomolecules
Mathematics
Algebra
Quadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsLinear ProgrammingComplex Numbers
Trigonometry
Trigonometric EquationsProperties of Triangles
Calculus
FunctionsLimits, Continuity and DifferentiabilityApplication of DerivativesDefinite IntegrationArea Under The CurvesDifferential Equations
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircle
Biology
Botany
Cell - The Unit of LifeBiomoleculesCell Cycle and Cell DivisionSexual Reproduction in Flowering PlantsMicrobes in Human WelfareAnatomy of Flowering PlantsMineral NutritionRespiration in PlantsBiotechnology: Principles and ProcessesBiodiversity and ConservationMorphology of Flowering PlantsPhotosynthesis in Higher PlantsPrinciples of Inheritance and VariationMolecular Basis of InheritanceOrganisms and PopulationsEcosystem
Zoology
Human Health and DiseasesBody Fluids and Its CirculationLocomotion and MovementNeural Control and CoordinationReproduction in OrganismsStructural Organisation in AnimalsDigestion and AbsorptionExcretory Products and Their EliminationChemical Coordination and IntegrationHuman ReproductionAnimal KingdomBreathing and Exchange of Gases