Join WhatsApp Icon JEE WhatsApp Group
Instructions

A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation $$\sqrt{3}x + y - 6 = 0$$ and the point D is $$\left(\frac{3\sqrt{3}}{2}, \frac{3}{2}\right)$$. Further, it is given that the origin and the centre of C are on the same side of the line PQ.

Question 16

Points E and F are given by

Create a FREE account and get:

  • Free JEE Advanced Previous Papers PDF
  • Take JEE Advanced paper tests

JEE Quant Questions | JEE Quantitative Ability

JEE DILR Questions | LRDI Questions For JEE

JEE Verbal Ability Questions | VARC Questions For JEE

Free JEE DILR Questions

JEE Complex NumbersJEE BiomoleculesJEE Definite IntegrationJEE Heat TransferJEE Permutations & CombinationsJEE Hydrocarbons - AlkanesJEE p-Block Elements (Groups 13-18)JEE Sets, Relations & FunctionsJEE Binomial TheoremJEE Fluid MechanicsJEE Conic SectionsJEE Current & ResistanceJEE Aldehydes & KetonesJEE Dual Nature of Matter & RadiationJEE Number SystemJEE WavesJEE Work, Energy & PowerJEE Magnetic Effects of CurrentJEE Continuity & DifferentiabilityJEE Three Dimensional GeometryJEE EMF & Circuit AnalysisJEE Wave OpticsJEE ProbabilityJEE Electric Potential & CapacitanceJEE Carboxylic AcidsJEE DifferentiationJEE StatisticsJEE Alcohols, Phenols & EthersJEE Organic Compounds with HalogensJEE Electromagnetic InductionJEE Inverse Trigonometric FunctionsJEE Indefinite IntegrationJEE Laws of ThermodynamicsJEE Chemical ThermodynamicsJEE LimitsJEE Practical Organic ChemistryJEE d and f-Block ElementsJEE Chemical KineticsJEE Sequences & SeriesJEE Nitrogen-Containing CompoundsJEE Purification & CharacterisationJEE Kinetic Theory of GasesJEE Differential EquationsJEE Laboratory Experiments - XIJEE Redox ReactionsJEE JEE 2D GeometryJEE Vector AlgebraJEE Ray OpticsJEE Periodic Table & PeriodicityJEE EquilibriumJEE Hydrocarbons - AromaticJEE Units & MeasurementsJEE SolutionsJEE Basic Principles of Organic ChemistryJEE Simple Harmonic MotionJEE Coordination CompoundsJEE Magnetism & Magnetic MaterialsJEE Alternating CurrentsJEE MatricesJEE Basic Concepts in ChemistryJEE ElectrochemistryJEE ElasticityJEE Quadratic EquationsJEE Trigonometric FunctionsJEE Hydrocarbons - AlkynesJEE Applications of DerivativesJEE Electronic DevicesJEE Atoms & NucleiJEE Electromagnetic WavesJEE CirclesJEE Rotational MotionJEE GravitationJEE Atomic StructureJEE Electric Charges & FieldsJEE Laws of MotionJEE Straight LinesJEE Hydrocarbons - AlkenesJEE DeterminantsJEE Surface TensionJEE Chemical Bonding & Molecular StructureJEE Kinematics - 2D MotionJEE Kinematics - 1D Motion
Ask AI