JEE Advanced Previous 10 Years Question Papers with Solutions
Master the Joint Entrance Examination (Advanced) with authentic Paper 1 and Paper 2 records, verified organizing IIT archives, step-by-step LaTeX mathematical derivations, and year-specific partial marking practice.
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Subject-Wise JEE Advanced Previous Year Questions
Practice high-level analytical problems with deep conceptual derivations.
JEE Advanced Physics PYQs
Rigid body rotation, coupled electromagnetism, thermodynamics cycles, and modern physics derivations.
JEE Advanced Chemistry PYQs
Stereoselective reaction cascades, crystal field theory, qualitative cation analysis, and electrochemistry.
JEE Advanced Mathematics PYQs
Definite integral bounds, multi-stage differential equations, complex geometry, and probability Bayes theorems.
JEE Advanced 10 Completed Examination Years (2016 – 2025)
Explore verified examination papers with separate Paper 1 and Paper 2 entries.
JEE Advanced Chapter Weightage & Historical Frequency
Calculated transparently from the verified 10-Year JEE Advanced examination dataset (Paper 1 & Paper 2 combined, 2016–2025). Categorized into high-yield focus areas for systematic IIT preparation.
Rotational Motion & Rigid Body Dynamics
- Conservation of Angular Momentum with Instantaneous Axis of Rotation (IAOR)
- Combined Pure Rolling & Sliding on Inclined Planes with Friction
Electrostatics & Electric Field Potential
- Concentric Conducting Spherical Shells with Grounding & Charge Induction
- Gauss Law Application to Non-Uniform Charge Density Distributions ($\rho(r) = kr^n$)
Electromagnetic Induction & Alternating Current
- Motional EMF in Rotating Rods, Sliding Rails & Variable Magnetic Fields ($\vec{E}_{ind}$)
- Mutual Inductance & Coupled LR Circuits with Transients ($i(t) = I_0(1 - e^{-t/\tau})$)
Thermodynamics & Kinetic Theory of Gases
- Cyclic Processes on $P-V, T-S,$ and $P-T$ indicator diagrams with efficiency calculations
- Polytropic Processes ($PV^n = const$) and Molar Heat Capacity ($C = C_v + \frac{R}{1-n}$)
Wave Optics & Modern Physics
- YDSE with Slab Insertion, Non-Monochromatic Light & Phase Shifts
- Bohr Model with Reduced Mass for Muonic/Positronium Exotic Atoms
Carbonyl Compounds (Aldehydes, Ketones & Carboxylic Derivatives)
- Intramolecular Aldol, Claisen, Dieckmann, and Michael Addition Multi-step Cascades
- Cannizzaro Reaction Mechanism with Isotope Tracer Effect (Deuterium Labeling)
Coordination Compounds & Qualitative Inorganic Analysis
- Crystal Field Splitting ($\Delta_o, \Delta_t$), Jahn-Teller Distortion, and Spectrochemical Series
- Isomerism: Geometrical (cis/trans, fac/mer), Optical, and Linkage Isomers ($NO_2^-, SCN^-$)
Chemical & Ionic Equilibrium
- Simultaneous Solubility Product ($K_{sp}$) in Common Ion & Complexing Ligand Solutions
- Buffer Capacity and pH of Polyprotic Acid Solutions ($H_3PO_4, H_2CO_3$)
Electrochemistry & Solid State
- Concentration Cells with and without Transference & Potentiometric Titrations
- Electrochemical Gibbs Free Energy ($\Delta G = -nFE$) and Temperature Coefficient ($\frac{\partial E}{\partial T}_P$)
Integral Calculus (Definite Integrals & Differential Equations)
- Leibniz Rule for Differentiation under the Integral Sign ($\frac{d}{dx} \int_{u(x)}^{v(x)} f(t, x) dt$)
- Definite Integral as the Limit of a Riemann Sum ($\lim_{n \to \infty} \frac{1}{n} \sum f(r/n)$)
Differential Calculus (Continuity, Differentiability & AOD)
- Rolle Theorem, Lagrange Mean Value Theorem (LMVT), and Cauchy MVT Applications
- Monotonicity, Points of Inflection, and Curve Concavity Analysis
Complex Numbers & Quadratic Equations
- Geometry of Complex Numbers: Circles ($|z-z_0|=r$), Apollonius Circles ($|\frac{z-z_1}{z-z_2}|=k$), Straight Lines
- De Moivre Theorem and $n^{\text{th}}$ Roots of Unity ($\sum \omega^k = 0, \prod = (-1)^{n-1}$)
Vectors and 3D Geometry
- Vector Triple Product ($\vec{a} \times (\vec{b} \times \vec{c}) = (\vec{a}\cdot\vec{c})\vec{b} - (\vec{a}\cdot\vec{b})\vec{c}$)
- Scalar Triple Product (Box Product $[\vec{a} \vec{b} \vec{c}]$) and Volume of Tetrahedron
Probability & Combinatorics
- Bayes Theorem with Law of Total Probability in Multi-Stage Stochastic Experiments
- Binomial Distribution, Poisson Distribution, and Random Variable Expectation/Variance
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JEE Main Cross-Link
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