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1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

A
$$\sqrt {{2 \over 3}} $$
B
$$\sqrt {{2 \over 5}} $$
C
$$\sqrt {{1 \over 3}} $$
D
$$\sqrt {{1 \over 2}} $$
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The equation of the ellipse having vertices at ($$\pm$$ 5, 0) and foci ($$\pm$$ 4, 0) is

A
$${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$
B
$$9{x^2} + 25{y^2} = 225$$
C
$${{{x^2}} \over 9} + {{{y^2}} \over {25}} = 1$$
D
$$4{x^2} + 5{y^2} = 20$$
3
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

A
$${1 \over {\sqrt 6 }}$$
B
$${{\sqrt 3 } \over 2}$$
C
$${{\sqrt 3 } \over 4}$$
D
$${1 \over 2}$$
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The total number of tangents through the point (3, 5) that can be drawn to the ellipse 3x2 + 5y2 = 32 and 25x2 + 9y2 = 450 is

A
0
B
2
C
3
D
4
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Physics
Mechanics
Units & MeasurementsVector AlgebraMotionLaws of MotionCircular MotionWork Power & EnergyCenter of MassRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetismElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Geometrical OpticsWave Optics
Modern Physics
Atoms and NucleiDual Nature of RadiationElectronic Devices
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryAtomic StructureRedox ReactionGaseous StateChemical EquilibriumLiquid SolutionIonic EquilibriumThermodynamicsChemical KineticsRadioactivity and Nuclear ChemistryElectrochemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic TableChemical BondingMetallurgyHydrogen and It's CompoundsSome s Block ElementsSome P Block Elementsd and f Block ElementsCoordination Compounds
Organic Chemistry
IUPAC NomenclaturesGeneral Organic ChemistryIsomerismHydrocarbonsHalogen DerivativesAlcohol and EtherAldehyde and KetoneAromatic ChemistryCarbonyl CompoundsCarboxylic Acids and AminesPolymersBiomoleculesPractical ChemistryChemistry In Everyday Life
Mathematics
Algebra
Sets and RelationsLogarithmsSequence and SeriesQuadratic EquationsPermutations and CombinationsMathematical Induction and Binomial TheoremMathematical InductionBinomial TheoremMatrices and DeterminantsVector AlgebraThree Dimensional GeometryProbabilityComplex NumbersStatistics
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