Algebra
LogarithmsQuadratic EquationsSequences and SeriesPermutations and CombinationsProbabilitySets and RelationsBinomial TheoremVector AlgebraThree Dimensional GeometryMatrices and DeterminantsStatisticsMathematical ReasoningLinear ProgrammingComplex NumbersTrigonometry
Trigonometric Ratios & IdentitiesTrigonometric EquationsInverse Trigonometric FunctionsProperties of TrianglesCalculus
FunctionsLimits, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential EquationsCoordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbolaEllipse
Practice QuestionsMCQ (Single Correct Answer)
1
The length of the latus rectum of $x^2+3 y^2=12$ is
KCET 2025
2
If the area of the ellipse is $$\frac{x^2}{25}+\frac{y^2}{\lambda^2}=1$$ is $$20 \pi$$ sq units, then $$\lambda$$ is
KCET 2021
3
The eccentricity of the ellipse $$9 x^2+25 y^2=225$$ is
KCET 2019
4
The eccentricity of the ellipse $\frac{x^2}{36}+\frac{y^2}{16}=1$ is
KCET 2017