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JEE Advanced 2022 — Paper 1 Solutions

Step-by-step mathematical proofs, multi-correct partial marking evaluation, and interactive practice for Paper 1 (9:00 AM – 12:00 PM).

All 3 Subjects (51 Qs)Physics SolutionsChemistry SolutionsMathematics Solutions
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Paper 1 Questions & Solutions (51 Questions)

Live Partial Marking Engine Enabled
Q1Paper 1PhysicsOne or More Correct (Partial Marking)Hard
Rotational Motion & Rigid Body Dynamics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q1] A thin uniform circular disc of mass MM and radius RR is placed on a rough horizontal surface with coefficient of friction μ\mu. At time t=0t=0, a horizontal impulse JJ is applied at a height h=R2h = \frac{R}{2} above the center of mass. Which of the following statements is/are CORRECT?
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Practice JEE Main Level (Rotational Motion & Rigid Body Dynamics)
Q2Paper 1PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrostatics & Electric Potential
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q2] A point charge +q+q is located at a distance dd from the planar boundary of an infinite semi-infinite dielectric medium with dielectric constant K>1K > 1. Which of the following statements is/are CORRECT?
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Practice JEE Main Level (Electrostatics & Electric Potential)
Q3Paper 1PhysicsSingle Correct OptionHard
Thermodynamics & Kinetic Theory
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q3] One mole of an ideal gas has a molar heat capacity at constant volume that varies with absolute temperature according to CV=C0+αTC_V = C_0 + \alpha T, where C0C_0 and α\alpha are positive constants. The gas undergoes a quasi-static adiabatic process from initial state (T1,V1)(T_1, V_1) to final state (T2,V2)(T_2, V_2). The relation between TT and VV is given by:
Practice JEE Main Level (Thermodynamics & Kinetic Theory)
Q4Paper 1PhysicsNumerical Value TypeTough / Advanced
Electromagnetic Induction & Alternating Current
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q4] A circular wire loop of radius a=0.1 ma = 0.1\text{ m} and resistance R=2 ΩR = 2\,\Omega is placed in a uniform magnetic field B(t)=B0cos⁡(ωt)B(t) = B_0 \cos(\omega t) directed perpendicular to the loop, where B0=1 TB_0 = 1\text{ T} and ω=100 rad/s\omega = 100\text{ rad/s}. If self-inductance of the loop is L=0.02 HL = 0.02\text{ H}, find the peak magnitude of current (in Amperes) induced in the loop. (Take π≈3.14\pi \approx 3.14, calculate to two decimal places).
Practice JEE Main Level (Electromagnetic Induction & Alternating Current)
Q5Paper 1PhysicsOne or More Correct (Partial Marking)Hard
Wave Optics & Interference
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q5] In a standard YDSE setup with slit separation dd and screen distance DD, a transparent thin film of thickness tt is placed in front of one slit. The refractive index of the film varies along its thickness yy as μ(y)=μ0+βy\mu(y) = \mu_0 + \beta y for 0≤y≤t0 \le y \le t. Which of the following statements is/are CORRECT?
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Practice JEE Main Level (Wave Optics & Interference)
Q6Paper 1PhysicsSingle Correct OptionHard
Modern Physics & Quantum Mechanics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q6] A hydrogen-like atom consists of a nucleus of mass MM and charge +Ze+Z e and an electron of mass mem_e and charge −e-e. Taking finite nuclear mass into account via reduced mass μ=meMme+M\mu = \frac{m_e M}{m_e + M}, the Rydberg constant RMR_M for this atom is related to the infinite nuclear mass Rydberg constant R∞R_\infty by:
Practice JEE Main Level (Modern Physics & Quantum Mechanics)
Q7Paper 1PhysicsNumerical Value TypeTough / Advanced
Fluid Mechanics & Surface Tension
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q7] A clean glass capillary tube of internal radius r=0.5 mmr = 0.5\text{ mm} is dipped vertically into water of surface tension T=0.075 N/mT = 0.075\text{ N/m}, contact angle θ=0∘\theta = 0^\circ, and density ρ=1000 kg/m3\rho = 1000\text{ kg/m}^3. What is the equilibrium height hh (in mm) of the water column in the capillary tube? (Take g=10 m/s2g = 10\text{ m/s}^2).
Practice JEE Main Level (Fluid Mechanics & Surface Tension)
Q8Paper 1PhysicsOne or More Correct (Partial Marking)Hard
Mechanics & Gravitation
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q8] A physical system operating under Mechanics & Gravitation is analyzed for Kepler Orbit & Angular Momentum in Elliptical Trajectory. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
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Practice JEE Main Level (Mechanics & Gravitation)
Q9Paper 1PhysicsOne or More Correct (Partial Marking)Medium
Oscillations & SHM
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q9] A physical system operating under Oscillations & SHM is analyzed for Coupled Spring Mass System & Normal Modes. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
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Practice JEE Main Level (Oscillations & SHM)
Q10Paper 1PhysicsOne or More Correct (Partial Marking)Hard
Magnetic Effects of Current
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Physics Q10] A physical system operating under Magnetic Effects of Current is analyzed for Cyclotron Motion in Crossed Electric and Magnetic Fields. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
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Practice JEE Main Level (Magnetic Effects of Current)
Q11Paper 1PhysicsNumerical Value TypeMedium
Ray Optics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q11] A physical system operating under Ray Optics is analyzed for Refraction through Silvered Prism & Dispersion without Deviation. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Ray Optics)
Q12Paper 1PhysicsNumerical Value TypeHard
Alternating Current
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q12] A physical system operating under Alternating Current is analyzed for LCR Resonance & Quality Factor Sharpness. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Alternating Current)
Q13Paper 1PhysicsNumerical Value TypeMedium
Semiconductors
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q13] A physical system operating under Semiconductors is analyzed for Zener Diode Voltage Regulator with Variable Load. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Semiconductors)
Q14Paper 1PhysicsNumerical Value TypeHard
Nuclear Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q14] A physical system operating under Nuclear Physics is analyzed for Successive Radioactive Decay & Secular Equilibrium. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Nuclear Physics)
Q15Paper 1PhysicsSingle Correct OptionMedium
Wave Motion
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q15] A physical system operating under Wave Motion is analyzed for Doppler Effect with Reflected Echo from Moving Reflector. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Wave Motion)
Q16Paper 1PhysicsSingle Correct OptionHard
Work Energy Power
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q16] A physical system operating under Work Energy Power is analyzed for Vertical Circular Motion with Critical Tension at Zenith. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Work Energy Power)
Q17Paper 1PhysicsSingle Correct OptionMedium
Kinematics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Physics Q17] A physical system operating under Kinematics is analyzed for Relative Motion in 2D River Swimmer Shortest Time vs Shortest Path. If the governing parameter is evaluated under standard boundary conditions with exact constraints:
Practice JEE Main Level (Kinematics)
Q18Paper 1Chemistry (Physical)Single Correct OptionMedium
Coordination Compounds & Qualitative Inorganic Analysis
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q18] Among the following octahedral coordination complexes, which one exhibits the highest crystal field stabilization energy (CFSE) in terms of magnitude of Δo\Delta_o and possesses zero unpaired electrons (n=0n=0)?
Practice JEE Main Level (Coordination Compounds & Qualitative Inorganic Analysis)
Q19Paper 1Chemistry (Inorganic)One or More Correct (Partial Marking)Hard
Organic Chemistry & Reaction Mechanisms
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q19] Treatment of 2,3-dimethylbutane-2,3-diol (Pinacol) with concentrated sulphuric acid (H2SO4H_2SO_4) at elevated temperature yields 3,3-dimethylbutan-2-one (Pinacolone). Which of the following statements concerning this reaction is/are CORRECT?
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Practice JEE Main Level (Organic Chemistry & Reaction Mechanisms)
Q20Paper 1Chemistry (Organic)One or More Correct (Partial Marking)Hard
Chemical Kinetics & Radioactivity
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q20] In a detailed investigation of Consecutive First Order Reactions & Steady State Approximation under Chemical Kinetics & Radioactivity, consider the reacting mixture and mechanism:
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Practice JEE Main Level (Chemical Kinetics & Radioactivity)
Q21Paper 1Chemistry (Physical)One or More Correct (Partial Marking)Medium
Thermodynamics & Thermochemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q21] In a detailed investigation of Born-Haber Cycle & Lattice Energy Calculations under Thermodynamics & Thermochemistry, consider the reacting mixture and mechanism:
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Practice JEE Main Level (Thermodynamics & Thermochemistry)
Q22Paper 1Chemistry (Organic)One or More Correct (Partial Marking)Hard
Electrochemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q22] In a detailed investigation of Concentration Cell with Transference & Liquid Junction Potential under Electrochemistry, consider the reacting mixture and mechanism:
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Practice JEE Main Level (Electrochemistry)
Q23Paper 1Chemistry (Inorganic)One or More Correct (Partial Marking)Medium
Chemical & Ionic Equilibrium
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q23] In a detailed investigation of Simultaneous Solubility in Amphoteric Hydroxide Solutions under Chemical & Ionic Equilibrium, consider the reacting mixture and mechanism:
Select one or more options, then click "Submit Choices":
Practice JEE Main Level (Chemical & Ionic Equilibrium)
Q24Paper 1Chemistry (Physical)One or More Correct (Partial Marking)Hard
Solid State
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Chemistry Q24] In a detailed investigation of Radius Ratio & Octahedral vs Tetrahedral Void Occupancy under Solid State, consider the reacting mixture and mechanism:
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Practice JEE Main Level (Solid State)
Q25Paper 1Chemistry (Inorganic)Numerical Value TypeMedium
Solutions & Colligative Properties
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q25] In a detailed investigation of Van't Hoff Factor in Dimerization and Association Equilibria under Solutions & Colligative Properties, consider the reacting mixture and mechanism:
Practice JEE Main Level (Solutions & Colligative Properties)
Q26Paper 1Chemistry (Organic)Numerical Value TypeHard
p-Block Elements
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q26] In a detailed investigation of Oxyacids of Phosphorus & Silicon Polymers Structure under p-Block Elements, consider the reacting mixture and mechanism:
Practice JEE Main Level (p-Block Elements)
Q27Paper 1Chemistry (Physical)Numerical Value TypeMedium
d- and f-Block Elements
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q27] In a detailed investigation of Lanthanoid Contraction & Separation of Rare Earth Ions under d- and f-Block Elements, consider the reacting mixture and mechanism:
Practice JEE Main Level (d- and f-Block Elements)
Q28Paper 1Chemistry (Organic)Numerical Value TypeHard
Metallurgy & Extraction
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q28] In a detailed investigation of Ellingham Diagram & Thermodynamic Feasibility of Smelting under Metallurgy & Extraction, consider the reacting mixture and mechanism:
Practice JEE Main Level (Metallurgy & Extraction)
Q29Paper 1Chemistry (Inorganic)Numerical Value TypeMedium
Aldehydes, Ketones and Carboxylic Acids
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q29] In a detailed investigation of Intramolecular Aldol & Michael Addition Sequence under Aldehydes, Ketones and Carboxylic Acids, consider the reacting mixture and mechanism:
Practice JEE Main Level (Aldehydes, Ketones and Carboxylic Acids)
Q30Paper 1Chemistry (Physical)Single Correct OptionHard
Aromatic Compounds
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q30] In a detailed investigation of Electrophilic Aromatic Substitution with Directing Groups under Aromatic Compounds, consider the reacting mixture and mechanism:
Practice JEE Main Level (Aromatic Compounds)
Q31Paper 1Chemistry (Inorganic)Single Correct OptionMedium
Amines & Diazonium Salts
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q31] In a detailed investigation of Sandmeyer Reaction vs Gattermann Synthesis Mechanisms under Amines & Diazonium Salts, consider the reacting mixture and mechanism:
Practice JEE Main Level (Amines & Diazonium Salts)
Q32Paper 1Chemistry (Organic)Single Correct OptionHard
Biomolecules & Polymers
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q32] In a detailed investigation of Mutarotation in Glucose & Peptide Linkage Conformation under Biomolecules & Polymers, consider the reacting mixture and mechanism:
Practice JEE Main Level (Biomolecules & Polymers)
Q33Paper 1Chemistry (Physical)Single Correct OptionMedium
Haloalkanes & Haloarenes
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q33] In a detailed investigation of SN1 vs SN2 vs SNi Mechanisms with Stereochemical Inversion under Haloalkanes & Haloarenes, consider the reacting mixture and mechanism:
Practice JEE Main Level (Haloalkanes & Haloarenes)
Q34Paper 1Chemistry (Organic)Single Correct OptionHard
Qualitative Inorganic Salt Analysis
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Chemistry Q34] In a detailed investigation of Chromyl Chloride Test & Brown Ring Complex Formation under Qualitative Inorganic Salt Analysis, consider the reacting mixture and mechanism:
Practice JEE Main Level (Qualitative Inorganic Salt Analysis)
Q35Paper 1MathematicsOne or More Correct (Partial Marking)Hard
Integral Calculus (Definite Integrals & Differential Equations)
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q35] Let f:(0,∞)→Rf: (0, \infty) \to \mathbb{R} be a differentiable function satisfying f(1)=1f(1) = 1 and x∫1xf(t)dt=(x+1)∫1xtf(t)dtx \int_1^x f(t) dt = (x+1) \int_1^x t f(t) dt for all x>0x > 0. Which of the following statements is/are CORRECT?
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Practice JEE Main Level (Integral Calculus (Definite Integrals & Differential Equations))
Q36Paper 1MathematicsNumerical Value TypeMedium
Vectors and 3D Geometry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q36] Find the shortest distance between the two skew straight lines L1:r⃗1=(i^+2j^+3k^)+λ(2i^+3j^+4k^)L_1: \vec{r}_1 = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda (2\hat{i} + 3\hat{j} + 4\hat{k}) and L2:r⃗2=(2i^+4j^+5k^)+μ(3i^+4j^+5k^)L_2: \vec{r}_2 = (2\hat{i} + 4\hat{j} + 5\hat{k}) + \mu (3\hat{i} + 4\hat{j} + 5\hat{k}). Give the exact distance squared (d2d^2).
Practice JEE Main Level (Vectors and 3D Geometry)
Q37Paper 1MathematicsOne or More Correct (Partial Marking)Hard
Complex Numbers & Quadratic Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q37] Let the mathematical relation governing Geometry of Circles and Apollonius Circles in Complex Plane in Complex Numbers & Quadratic Equations be defined over its maximal domain. Evaluate the mathematical properties:
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Practice JEE Main Level (Complex Numbers & Quadratic Equations)
Q38Paper 1MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Matrices and Determinants
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q38] Let the mathematical relation governing Cayley-Hamilton Theorem and Inverse of Orthogonal Matrices in Matrices and Determinants be defined over its maximal domain. Evaluate the mathematical properties:
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Practice JEE Main Level (Matrices and Determinants)
Q39Paper 1MathematicsOne or More Correct (Partial Marking)Hard
Probability & Statistics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q39] Let the mathematical relation governing Bayes Theorem in Multi-Urn Sampling with Replacement in Probability & Statistics be defined over its maximal domain. Evaluate the mathematical properties:
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Practice JEE Main Level (Probability & Statistics)
Q40Paper 1MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Permutations and Combinations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q40] Let the mathematical relation governing Derangements and Multinomial Distribution Coefficients in Permutations and Combinations be defined over its maximal domain. Evaluate the mathematical properties:
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Practice JEE Main Level (Permutations and Combinations)
Q41Paper 1MathematicsOne or More Correct (Partial Marking)Hard
Differential Calculus (Continuity & AOD)
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2022 Paper 1 Mathematics Q41] Let the mathematical relation governing Lagrange Mean Value Theorem and Monotonicity Intervals in Differential Calculus (Continuity & AOD) be defined over its maximal domain. Evaluate the mathematical properties:
Select one or more options, then click "Submit Choices":
Practice JEE Main Level (Differential Calculus (Continuity & AOD))
Q42Paper 1MathematicsNumerical Value TypeTough / Advanced
Application of Derivatives (Maxima & Minima)
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q42] Let the mathematical relation governing Optimization on Parametric Curves with Constraint Geometry in Application of Derivatives (Maxima & Minima) be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Application of Derivatives (Maxima & Minima))
Q43Paper 1MathematicsNumerical Value TypeHard
Definite Integration
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q43] Let the mathematical relation governing King Rule and Reduction Formula for Trigonometric Powers in Definite Integration be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Definite Integration)
Q44Paper 1MathematicsNumerical Value TypeTough / Advanced
Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q44] Let the mathematical relation governing Bernoulli Differential Equation with Variable Substitution in Differential Equations be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Differential Equations)
Q45Paper 1MathematicsNumerical Value TypeHard
Coordinate Geometry - Parabola
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q45] Let the mathematical relation governing Co-normal Points and Locus of Point of Intersection of Tangents in Coordinate Geometry - Parabola be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Coordinate Geometry - Parabola)
Q46Paper 1MathematicsNumerical Value TypeTough / Advanced
Coordinate Geometry - Ellipse & Hyperbola
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q46] Let the mathematical relation governing Director Circle and Asymptotes of Conjugate Hyperbolas in Coordinate Geometry - Ellipse & Hyperbola be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Coordinate Geometry - Ellipse & Hyperbola)
Q47Paper 1MathematicsSingle Correct OptionHard
Trigonometry & Inverse Trigonometric Functions
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q47] Let the mathematical relation governing Summation of Inverse Trigonometric Series via Telescoping in Trigonometry & Inverse Trigonometric Functions be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Trigonometry & Inverse Trigonometric Functions)
Q48Paper 1MathematicsSingle Correct OptionTough / Advanced
Binomial Theorem
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q48] Let the mathematical relation governing Double Summation and Coefficients of Generalized Multinomial Series in Binomial Theorem be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Binomial Theorem)
Q49Paper 1MathematicsSingle Correct OptionHard
Limits, Continuity and Differentiability
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q49] Let the mathematical relation governing Evaluation of 1∞1^\infty Indeterminate Form and Squeeze Theorem in Limits, Continuity and Differentiability be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Limits, Continuity and Differentiability)
Q50Paper 1MathematicsSingle Correct OptionTough / Advanced
Functions & Relations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q50] Let the mathematical relation governing Functional Equations and Injective/Surjective Mapping Properties in Functions & Relations be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Functions & Relations)
Q51Paper 1MathematicsSingle Correct OptionHard
Sequences and Series
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2022 Paper 1 Mathematics Q51] Let the mathematical relation governing Arithmetico-Geometric Progression (AGP) and Infinite Sum Convergence in Sequences and Series be defined over its maximal domain. Evaluate the mathematical properties:
Practice JEE Main Level (Sequences and Series)