1
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1
Out of Syllabus
Let the common tangents to the curves $$4({x^2} + {y^2}) = 9$$ and $${y^2} = 4x$$ intersect at the point Q. Let an ellipse, centered at the origin O, has lengths of semi-minor and semi-major axes equal to OQ and 6, respectively. If e and l respectively denote the eccentricity and the length of the latus rectum of this ellipse, then $${l \over {{e^2}}}$$ is equal to ______________.
Your input ____
2
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6. Then the directrix of P2 is x + 2y = ____________.
Your input ____
3
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
Out of Syllabus
A tangent line L is drawn at the point (2, $$-$$4) on the parabola y2 = 8x. If the line L is also tangent to the circle x2 + y2 = a, then 'a' is equal to ___________.
Your input ____
4
JEE Main 2021 (Online) 20th July Evening Shift
Numerical
+4
-1
If the point on the curve y2 = 6x, nearest to the point $$\left( {3,{3 \over 2}} \right)$$ is ($$\alpha$$, $$\beta$$), then 2($$\alpha$$ + $$\beta$$) is equal to _____________.
Your input ____
Questions Asked from Parabola (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2025 (Online) 29th January Evening Shift (1)
JEE Main 2025 (Online) 28th January Evening Shift (1)
JEE Main 2025 (Online) 23rd January Evening Shift (1)
JEE Main 2024 (Online) 9th April Evening Shift (2)
JEE Main 2024 (Online) 6th April Morning Shift (2)
JEE Main 2024 (Online) 5th April Evening Shift (1)
JEE Main 2024 (Online) 5th April Morning Shift (1)
JEE Main 2024 (Online) 4th April Morning Shift (1)
JEE Main 2024 (Online) 1st February Morning Shift (1)
JEE Main 2024 (Online) 29th January Evening Shift (1)
JEE Main 2023 (Online) 11th April Evening Shift (1)
JEE Main 2023 (Online) 10th April Morning Shift (1)
JEE Main 2023 (Online) 8th April Evening Shift (1)
JEE Main 2023 (Online) 6th April Morning Shift (1)
JEE Main 2023 (Online) 1st February Evening Shift (1)
JEE Main 2023 (Online) 31st January Evening Shift (1)
JEE Main 2023 (Online) 29th January Evening Shift (1)
JEE Main 2022 (Online) 28th July Evening Shift (1)
JEE Main 2022 (Online) 25th July Morning Shift (1)
JEE Main 2022 (Online) 30th June Morning Shift (1)
JEE Main 2022 (Online) 27th June Morning Shift (1)
JEE Main 2022 (Online) 26th June Morning Shift (1)
JEE Main 2022 (Online) 24th June Evening Shift (1)
JEE Main 2021 (Online) 31st August Evening Shift (1)
JEE Main 2021 (Online) 20th July Evening Shift (1)
JEE Main 2021 (Online) 20th July Morning Shift (1)
JEE Main 2021 (Online) 25th February Evening Shift (1)
JEE Main 2020 (Online) 3rd September Evening Slot (1)
JEE Main 2020 (Online) 8th January Evening Slot (1)
JEE Main Subjects
Physics
Mechanics
Units & MeasurementsVector AlgebraMotion in a Straight LineMotion in a PlaneCircular MotionLaws of MotionWork Power & EnergyCenter of Mass and CollisionRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
ElectrostaticsCurrent ElectricityCapacitorMagnetic Effect of CurrentMagnetic Properties of MatterElectromagnetic InductionAlternating CurrentElectromagnetic Waves
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of ChemistryStructure of AtomRedox ReactionsGaseous StateChemical EquilibriumIonic EquilibriumSolutionsThermodynamicsElectrochemistryChemical Kinetics and Nuclear ChemistrySolid StateSurface Chemistry
Inorganic Chemistry
Periodic Table & PeriodicityChemical Bonding & Molecular StructureIsolation of ElementsHydrogens-Block Elementsp-Block Elementsd and f Block ElementsCoordination CompoundsSalt AnalysisEnvironmental Chemistry
Organic Chemistry
Mathematics
Algebra
Sets and RelationsLogarithmQuadratic Equation and InequalitiesSequences and SeriesMathematical InductionBinomial TheoremMatrices and DeterminantsPermutations and CombinationsProbabilityVector Algebra3D GeometryComplex NumbersStatisticsMathematical Reasoning
Trigonometry
Trigonometric Ratio and IdentitesTrigonometric EquationsInverse Trigonometric FunctionsProperties of TriangleHeight and Distance
Coordinate Geometry
Calculus