Important Topics for JEE Main and Advanced 2025 - Check Details Here

Important Topics for JEE Main and Advanced 2025 - Check Details Here

Edited By Team Careers360 | Updated on Nov 11, 2024 05:44 PM IST | #JEE Main

Important Topics for JEE Main and Advanced 2025 - JEE Main 2025 and JEE Advanced 2025 are considered the most difficult competitive exams. Eligibility criteria for JEE Advanced is that after qualifying for JEE Main exam, candidates will be eligible for JEE Advanced. A candidate can attempt JEE (Advanced) a maximum of two times in two consecutive years. The syllabus for JEE Main 2025 and JEE Advanced 2025 is vast, comprising Physics, Chemistry, and Mathematics topics from classes 11 and 12. Students must know important topics for the Joint Entrance Examination Main 2025 and JEE Advanced to prepare in an effective manner.

Important Topics for JEE Main and Advanced 2025 - Check Details Here
Important Topics for JEE Main and Advanced 2025 - Check Details Here

Students studying for these exams should prepare in a strategic way by knowing details about the best books to study, topics with more weightage, the difficulty level of questions, important topics for JEE Main and Joint Entrance Examination Advanced 2025, and the pattern of questions. The questions in these exams are designed in a way to test the fundamental, conceptual, and analytical understanding of basic Physics, Chemistry, and Mathematics. Here in this article, we are providing information on important topics for JEE Main Exam 2025 and JEE Advanced Exam 2025 to help students prepare. Important topics for both JEE Main and JEE Advanced presented here are as per the suggestion from subject experts careers360.

Important Topics for JEE Main and Advanced 2025

Students seeking admission to Indian Institutes of Technology (IITs) have to qualify for both the exams and with good ranks. The pattern of questions asked in JEE Main and Advanced is multiple choice and questions with numerical value answers. In JEE Advanced we see different types of questions as well like multiple correct choice questions. Preparation for these exams requires determination and dedication to crack and secure admission in IITs or the National Institute of Technology (NITs). Careers360 organized a webinar with subject experts of JEE Main and Advanced to get insights on preparation tips, important topics, and other points essential for the preparation. Below are mentioned the most important chapters for JEE Advanced and JEE Main as per the suggestions.

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The most important chapters for JEE Mains and Advanced

Subject

Important Topics for both JEE Main and Advanced

Physics

  • Rotational Motion

  • Thermodynamics

  • SHM

  • Electrostatics

  • Magnetism

  • Optics

  • Modern Physics

Mathematics

  • Complex Number

  • Conic Section

  • Circle

  • Calculus

  • Vector & 3 D

  • Probability

  • Trigonometric Equation

  • Properties of Triangles

  • Quadratic Equation

  • Sequence and Series

  • Permutations and combination

Chemistry

  • Chemical bonding

  • Electrochemistry

  • Coordination compound

  • Salt analysis

  • Ionic equilibrium

  • Thermodynamics & thermochemistry

  • Aldehydes and ketones

  • Aromatic hydrocarbons

  • GOC isomerism

  • Liquid solutions

  • Alkyl halides and aryl halides


JEE Main And Advanced Physics Important Topics and Chapter

Chapter

Concepts

Physics and Measurement

Physical quantity

System of unit

Practical units

Dimension, Frequency, angular frequency, angular velocity, velocity gradient, Work, Potential Energy, Kinetic Energy, Torque, Momentum, Impulse, Angular momentum, Angular impulse

Dimensionless Quantities, Heat, Latent heat, Specific heat capacity, and Temperature, Permittivity of free space and dielectric constant (k), Magnetic Field, Permeability of free space, Magnetic flux, and self-inductance

Application of Dimensional analysis (I)- To find the dimension of physical constant, Application of Dimensional analysis (II)- To convert a physical quantity from one system to another, Application of Dimensional analysis (V)- As a research tool to derive new relations

Significant figures

Errors of measurements, Error in sum and Error in difference of two physical quantities, Error in product and Error in division of two physical quantities, Error in quantity raised to some power

Work Energy and Power

Nature of Work Done

Work done by a variable force

Kinetic energy

Potential energy, Potential energy curve

Law of Conservation of Energy

Power

Types of collision

Perfectly Elastic Head-on Collision, Perfectly elastic oblique collision, Head-on inelastic collision, Perfectly inelastic collision, Collision Between Bullet and Vertically Suspended Block

Rotational Motion

Center of mass

Position of center of mass for solid cone

The motion of the center of mass

Equations of Linear Motion and Rotational Motion.

Torque

Moment of inertia of a Rod

Moment of inertia for uniform rectangular lamina

Parallel and Perpendicular Axis theorem

Moment of inertia of a RING

Moment of inertia of a DISC

Moment of inertia of a SOLID SPHERE

Angular Momentum

Conservation Of angular momentum

Properties of Solids and Liquids

Stokes' Law & Terminal Velocity

Surface energy

Excess pressure inside a liquid drop & soap bubble

Thermal stress and thermal strain

Heat

Basics of conduction

Stress and its types

Hooke’s law

Work done in stretching a wire

Rise of liquid in a capillary tube

Variation of pressure

Flow of fluids

Equation of Continuity

Applications of Bernoulli's Theorem(I)

Viscosity

Kinetic Theory of Gases

States of Matter

Gas laws(I)

Ideal gas equation

Various types of speeds of ideal gases

The kinetic energy of ideal gas

Specific heat of a gas

Mayer's formula

Electromagnetic Induction and Alternating currents

Magnetic flux

Faraday's law of induction

Motional Electromotive force(I),Motional Electromotive force(II),Energy consideration in Motional Emf,Motional Electromotive force(III),Motional Electromotive force(IV)

AC voltage applied to an inductor

AC voltage applied to a capacitor

Induced Electric field

Series LR circuit

Time-Varying Magnetic field

Series RC circuit

Self-inductance

Series LCR circuit

Resonance in Series LCR circuit

Mutual Inductance, Mutual Inductance for two coaxial long solenoids, Mutual Inductance for a pair of concentric coils

Quality factor

Power in an AC circuit

Energy stored in an inductor

Transformers

Experimental skills

To compare the emf of two given primary cells using a potentiometer

To measure the thickness of the given sheet using a screw gauge

To measure the diameter of a small spherical cylindrical body using Vernier Callipers

Kinematics

Vector addition and Vector Subtraction

Uniform circular motion

Speed and velocity

Kinematics graphs

Equation of motions

Projectile Motion

Relative Velocity

Laws of Motion

Common forces in mechanics

Equilibrium of concurrent forces

Newton’s First law of motion

Newton’s Second and Third Laws of Motion

Acceleration of Block on Smooth Inclined Plane

Motion of Block in Contact

The motion of blocks when connected with string

The motion of connected blocks over a pulley

Rocket Propulsion

Kinetic Friction

Static Friction

Acceleration of block against friction

Centripetal Force and Centrifugal Force

Spring Force

Skidding of Vehicle on a Level Road

Banking of Road

Gravitation

Newton's law of Gravitation

Acceleration due to gravity (g), Variation in 'g' due to height, Variation in 'g' due to Rotation of the earth

Gravitational field Intensity, Gravitational field due to Point mass

Gravitational Potential due to Uniform solid sphere

Gravitational Potential Energy (U)

Work Done Against Gravity

Kepler’s Laws of Planetary Motion

Escape Velocity

Orbital Velocity of Satellite

Time period and energy of a satellite

Oscillations and Waves

Spring System, Oscillations in combination with springs

Simple pendulum

Propagation of sound wave

General equation of traveling

Standing longitudinal wave

Sine wave traveling on a string

Speed of transverse wave on a string

Beats

Composition of two SHM- part 2

Damped Harmonic motion

Doppler Effect

Standing waves, Standing waves in a string fixed at both ends

Energy in SHM

Simple harmonic as a projection of circular motion

Simple harmonic motion, Equations of motions of SHM

Terms associated with SHM

Electrostatics

Coulomb's Law

Electric field

Electric field lines

Electric field due to uniformly charged disc

Dipole in Uniform electric field

Gauss law,Applications of Gauss Law(I),Applications of Gauss Law(II),Applications of Gauss Law(IV),Applications of Gauss Law(V)

Electric flux(I)

Electric potential

Relation between electric field and potential

Capacitor

Electric potential due to continuous charge distribution(I)

The electric flux through cone or disc

Electric potential due to continuous charge distribution(II)

Equipotential surface

Parallel plate capacitor

Electrostatic Potential energy

Combination of capacitors

Energy stored in the capacitor

Dielectrics

Current Electricity

Current Density

Drift Velocity

Ohms Law

Resistance and Resistivity

Series grouping of Resistance

Cell and Emf of a cell

Current Given by a Cell

Series and Parallel Grouping of cell

Emf of a cell when the cell is charging and discharging and Open circuit and Short circuit

Kirchhoff first law

Kirchhoff's second law

KCL, KVL, Conservation of charge and Energy and introduction to Galvanometer

Ammeter

Voltmeter

Wheatstone's bridge

Meter Bridge

Determine the internal resistance of a cell

Faraday's laws of electrolysis

Magnetic Effects of Current and Magnetism

Magnetic Field due to current in straight wire

Magnetic Field due to circular current loop

The magnetic field on the axis of the circular current loop

Application of Ampere's law (I), Application of Ampere's law (II)

Force on a moving charge in the magnetic field

Solenoid

The motion of a charged particle in a uniform magnetic field(I)

Magnetic field lines

Bar magnet as an equivalent solenoid

Magnetic force on a current-carrying conductor

Lorentz force

Force between two parallel current-carrying infinite wires

Dipole in a uniform magnetic field

Torque on a rectangular current loop in a uniform magnetic field,Circular current loop as a magnetic dipole

Magnetization and magnetic intensity

Moving coil galvanometer

Hysteresis curve

Electromagnetic Waves

Displacement current

Nature of Electromagnetic Waves

Energy Density and Intensity of EM waves

Electromagnetic spectrum

Optics

Spherical mirrors

Mirror formula

Refraction Through A Glass Slab

Refraction Through A Prism 1, Dispersion Of Light 1

Refraction

Real depth and Apparent depth

Total Internal Reflection

Lens Maker's formula

Power of lens and mirror

Magnification in Lenses

Combination of thin lens in contact, Lenses at a distance

Astronomical Telescope

Polarization of light

Malus' Law

Interference of light waves- 1, Interference of light waves- 2

Fraunhofer diffraction by a single slit

Young's double slit experiment -1, Young's double slit experiment- 2

YDSE with a thin slab

Compound Microscope

Thin film interference

Dual Nature of Matter and Radiation

Electron Emission

Photon theory of light

Wave nature of matter, De-Broglie wavelength of an electron

Davisson-Germer Experiment

Photoelectric effect, Graphs in Photoelectric effect

Photons emitted by a source per second, Intensity of radiation, Photon Flux

Atoms And Nuclei

Bohr's Model of the hydrogen atom, Radius of orbit, and velocity of the electron

Energy of electron in nth orbit, Energy level for Hydrogen

Line spectra of the hydrogen atom

Mass-energy equivalence and Nuclear binding energy, Binding Energy Per Nucleon, Nuclear Force, and Stability

De-Broglie's explanation of Bohr's second postulate

Effect of Nucleus Motion on Energy

Law of radioactivity decay

Atomic Collision

Characteristic X-Rays

Continuous X-ray

Radioactivity - (I), Radioactivity - (II)

Nuclear fission

Electronic devices

Electric Conductivity

Extrinsic Semiconductor(II)

Zener diode

Characteristics of a P-N junction, Semiconductor Diode(II)

Junction Transistor

Transistor as a device

Classification of solids on the basis of Band Theory

Optoelectronic junction devices (I)

Thermodynamics

Adiabatic process

Second Law of Thermodynamics

Entropy

Carnot Engine

Cyclic and Noncyclic process

Isobaric process

Refrigerator or Heat Pump

Introduction to Thermodynamics

Thermodynamic variables and equation of state

Heat, Internal Energy, and Work in Thermodynamics

The first law of Thermodynamics

JEE Main And Advanced Chemistry Important Topics and Chapter


Chapter Name

Important Topics

Some basic concepts in chemistry

Empirical Formula And Molecular Formula

MOLE CONCEPT AND MOLAR MASS

Stoichiometry, Stoichiometric Calculations And Limiting Reagent

Reactions in Solutions

Atomic Structure

Photoelectric effect

Line spectrum of hydrogen

Radius, velocity, and the energy of nth Bohr orbital

Debroglie wavelength

Heisenberg’s uncertainty principle

Quantum Numbers

Aufbau Principle, Pauli Exclusion Principle, and Hund's Rule of Maximum Multiplicity

Chemical Thermodynamics

Path, State Function, Types Of Process

Reversible, Irreversible, Polytropic Process

Isothermal Reversible And Isothermal Irreversible

Heat Capacity

Thermochemistry And Enthalpy For Chemical Reaction

Enthalpy Of Combustion, Enthalpy Of Dissociation, Atomisation And Phase Change

Lattice Enthalpy, Hydration Enthalpy And Enthalpy Of Solution

Hess’s Law

Calculation Of Changes In S For Different Process

Gibbs Energy And Change In Gibbs Energy, Spontaneity Criteria With Gibbs Energy (G)

Redox Reaction and Electrochemistry

Oxidation Number and Oxidation State

Types of Redox Reactions

Balancing of Redox Reaction: Ion Electrode Method, Balancing of Disproportionation Redox Reaction: Ion Electrode Method, Balancing of Redox Reaction: Oxidation Number Method

Quantitative Aspect of Electrolytic Cell: Faraday's First Law, Faraday's Second Law

Galvanic Cells

Nernst Equation, Nernst Equation for Full Cell, Equilibrium Constant Through Nernst Equation

Molar and Equivalent Conductance,Molar Conductance at Infinite Dilution

Kohlrausch's Law

d - and f - BLOCK ELEMENTS

Screening Effect and Lanthanoid Contraction, Atomic Size/Radii, Ionisation Energy, Oxidation State, Magnetic Properties, and Character

Formation of Coloured Ions

Physical Properties of f-block, Properties of Actinoids

Co-ordination Compounds

Addition Compounds or Molecular Compounds, Terminologies Related to Coordination Compounds, Types of Ligands - 1, Oxidation Number, Coordination Number, IUPAC Nomenclature of Coordination or Complex Compound

Magnetic Moment(On the Basis of VBT)

Applications of CFT

Stereoisomerism, Structural Isomerism - 1, Structural Isomerism - 2

Purification and Characterisation of Organic Compounds

Sublimation and Crystallisation, Distillation under reduced pressure and Steam distillation, Chromatography

Test for Halogens

Duma's Method

Kjeldahl's Method

Carius Method (Halogen and Sulphur)

Some Basic Principles of Organic Chemistry

Functional Group

IUPAC Nomenclature - 1

Carbocations

Carbanions

Alkyl Free Radicals

Nucleophiles and Electrophiles

Inductive Effect

Mesomeric or Resonance Effect

Organic Compounds containing Halogens

Nature of C-X bond and Physical Properties, Reaction with PCl5, PCl3, SOCl2 and HX

Strong and Weak bases,SN2 Reaction,SN1 Reaction,Nucleophilic Substitution

Grignard Reagent - 1,Reduction by LiAlH4 and NaBH4

Acylation and Oxidation of Alcohols

Reaction of Phenols with dil. HNO3,Reimer-Tiemann and Kolbe's Schmidt Reactions

Preparation of Aldehydes

Nucleophilic Addition Reaction, Intermolecular Cannizaro Reaction

Methods of Preparation of Carboxylic Acids, Acidity in Carboxylic Acids

Principles Related to Practical Chemistry

Preliminary Test with Dilute Sulphuric Acid (Systematic Analysis of Anions):

Analysis of Cations

Chemical Bonding and Molecular Structure

Lewis Representation of Simple Molecules (Lewis Structure)

Limitations of The Octet Rule

Bond Parameters: length, angle, energy, strength

Fajan's Rule and Covalent Character in Ionic Bond

Pi (p-p) and Pi (p-d) bonding

How to Find Hybridisation

VSEPR (Valence Shell Electron Pair Repulsion) Theory

Shapes of Molecules

Dipole Moment

Hydrogen Bonding

Classification of Elements and Periodic Table

The long form of the Modern periodic table

Classification of Elements: s-block

Atomic Radius of Elements,Variation of Atomic Radii and ionic radii

Ionisation Enthalpy or Ionisation Potential

Electron Gain Enthalpy or Electron Affinity

Electronegativity

Physical Properties of Elements, Chemical Properties of Elements

Equilibrium

Types of Equilibrium Constant

Le Chatelier’s principle,Le Chatelier’s principle

Bronsted Lowry and Lewis Acid-Base Theory

pH of Solutions: Strong Acids, pH of Solutions: Weak Acids, pH of solution/mixture

pH of weak acid + strong acid

Types of Buffers, Calculating pH of a Buffer Solution(acidic), Working of Acidic Buffer, Basic Buffers

Solubility and Solubility Product

Hydrocarbons

Chemical Properties(Free Radical Reaction, Chlorination, Nitration and sulphonation), Chemical Properties (Combustion, Catalytic Oxidation, Isomerisation, Aromatisation and Pyrolysis)

Reduction of Alkynes to Alkenes

Markonikov and Anti-markonikov Reaction

Hydrohalogenation and Halogenation of Alkynes

Solutions

Concentration Terms

Ideal Solution

Elevation in Boiling Point

Depression in Freezing Point

Osmosis and Osmotic Pressure

Isotonic, Hypertonic, Hypotonic Solution

van't Hoff factor(i) or Abnormal Colligative Property, Calculation of Extent of Dissociation in an Electrolytic Solution

Chemical kinetics

Instantaneous Rate of Reaction, Factors Affecting Rate of Reaction, Factors Affecting Rate of Reaction(2)

Rate Law

Important Points About Order of Reaction

Zero Order Kinetics - Zero Order Reaction, Integrated Rate Law - Zero Order Reaction, Half-Life and Life Time of Reaction, Graphs for Zero-Order Reaction

First Order Reaction, Half-Life of First Order Reaction, Graphs of First Order Kinetics

nth Order Kinetics

Molecularity of Reaction

Exception(Arrhenius Theory),Effective Activation Energy

Surface Chemistry

Thermodynamics of Adsorption

Physical Adsorption

Freundlich Isotherm

Colloids

Coagulation/Flocculation, Charge on Colloids, Properties of Colloidal Solution

p- Block Elements

Physical Properties of Group 13, Physical Properties of Group 13 - 1, Physical Properties of Group 13 - 2

Chemical Properties of Group 13

Borax

Group 14 (Carbon Family): Physical Properties - 2

Allotropic Form of Carbon(Diamond),Allotropic Form of Carbon(Graphite)

Silicates - 1, Silicates - 2

SiO2

Silicones

Group 15 - Physical and Chemical Properties

Ammonia(NH3)

Phosphine and Phosphorus Chloride

Group 16: Oxyen Family - Physical Properties, Chemical Properties - 1, Chemical Properties - 2

Oxides

Interhalogen Compounds

General properties of Hydrides of Group 17

Chlorine(Cl2)

Important Compounds of Xenon

JEE Main And Advanced Maths Important Topics and Chapter


Sets, Relations, and Functions

Subsets, Proper Subset, Improper Subset, Intervals

Union of sets, Properties of union

Intersection of Set, Properties of Intersection

The cardinal number of some sets

Domain, Range of Relation

Reflexive, Symmetric and Transitive relation,Equivalence relation

Functions, Image and Pre-image

Piecewise function

One - One Function(injective)

Onto Function or Surjective

Into Function, Bijective function, Equality of function

Composition of function, Condition for Composite Function, Property of Composite Function

Even and Odd Function

Complex numbers and quadratic equations

Iota and powers of Iota

Complex number

Conjugate of complex numbers and their properties

Modulus of a complex number and its Properties

Euler form of a complex number, Properties of argument of a complex number

The square root of complex numbers, solution of a complex equation

Distance formula, Equation of perpendicular bisector

Nature of Roots, Relation Between Roots, and Coefficient of Quadratic Equation

Matrices and Determinants

Matrices, Order of a Matrix, Row and Column Matrix

Multiplication of two matrices, Properties of Matrix Multiplication

Transpose of a Matrix

Transpose conjugate of a matrix and properties

Determinant of a Matrix, Singular and Non-singular Matrix

Adjoint of a Matrix, Properties of adjoint of Matrix - Part 1

Inverse of a Matrix, Properties of Inverse of a Matrix - Part 1, Properties of Inverse of a Matrix - Part 3

Multiplication of Determinant

Properties of Determinants - Part 2

Cramer’s law

Solution of System of Linear Equations Using Matrix Method

Permutations and combinations

PERMUTATION AS AN ARRANGEMENT

APPLICATION OF PERMUTATION-I

CIRCULAR PERMUTATIONS, DIFFERENT CASES OF GEOMETRICAL ARRANGEMENTS

RANK OF A WORD IN A DICTIONARY

INTRODUCTION OF COMBINATIONS

APPLICATIONS OF SELECTIONS -II

FINDING NUMBER OF SOLUTIONS OF EQUATIONS, FINDING NUMBER OF SOLUTIONS OF EQUATIONS (Special Case)

Binomial theorem and its simple applications

Binomial Theorem and Expression of Binomial Theorem, Properties of Binomial Theorem and Binomial Coefficient (Part 1), Properties of Binomial Theorem and Binomial Coefficient (Part 2)

Some Standard Expansions (Part 2)

General Term of Binomial Expansion, Middle Term

Series Involving Binomial Coefficients

Important Results of Binomial Theorem for any index

Sequence and series

Sequences, Series, and Progression

Arithmetic Progression, Important Properties of an AP -Part 1, Important Properties of an AP -Part 2

The sum of n terms of an AP

Arithmetic Mean

Geometric Progression

Geometric Mean

The sum of the n-term of a GP

Harmonic Progression

Harmonic Mean

The sum of an infinite AGP

Summation by Sigma Operator

Sum of Common Series - (Part 1), Sum of Common Series (Part-2), Sum of Common Series (Part 3)

Limit, continuity, and differentiability

Algebra of Limits

Limit of Indeterminate Form and Algebraic limit

Limit of Algebraic function, Algebraic Function of type ‘infinity/infinity'

Trigonometric Limits

Exponential Limits, Logarithmic Limits

Limits of the form (1 power infinity)

L’ Hospital’s Rule

DIFFERENTIATION

Derivative of the Trigonometric Function (csc/sec/cot)

Rules of Differentiation (Chain Rule)

Differentiation of Function in Parametric Form

Differentiation of a Function wrt Another Function and Higher Order derivative of a Function

Continuity

Directional Continuity and Continuity over an Interval

Differentiability and Existence of Derivative

Examining Differentiability Using Differentiation and Graph of Function

Derivative as Rate Measure

Slope and Equation of Normal

The angle of Intersection of Two Curves

Length of Tangent, Normal, Subtangent and subnormal

Rolle’s Theorem, Lagrange’s Mean Value Theorem

Monotonicity (Increasing and Decreasing Function)

Maxima and Minima of a Function

Integral Calculus

Integration as a Reverse Process of Differentiation

Fundamental Formulae of Indefinite Integration (Trigonometric Functions)

Some Special Integration, Application of Special Integral Formula (Part 1)

Integration by Parts

Integration Using Partial Fraction

Reduction Formula (Part 1)

Definite Integration

Properties of the Definite Integral (Part 2) - King's Property

Piecewise Definite integration

Application of Even- Odd Properties in Definite Integration, Application of Periodic Properties in Definite Integration

Newton-Leibniz's Formula

Application of Inequality in Definite Integration

Area Bounded by Curve and Axes, Area Bounded by Two Curves

Differential equations

Differential Equation

Formation of Differential Equation and Solutions of a Differential Equation

Homogeneous Differential Equation

Linear Differential Equation

Bernoulli’s Equation

Co-ordinate geometry

Coordinate Axes

Distance between two points

Section Formula

Centroid

Incentre

Circumcentre and Orthocentre

Area of Triangle

Locus and its Equation

Straight Line

Equation of Straight Line (Part 1), Equation of Straight Line (Part 2), Normal and Parametric form of a line

The angle between two straight line

Line parallel and perpendicular to a given line

Distance of a Point From a Line

Point of intersection of two lines

Family of Lines

Equation of the Bisectors

Circle(Definition)

Diametric Form of a Circle

Different Form of the Equation of the Circle

Position of a Point With Respect to Circle

Line and Circle

Equation of the Tangent in Point Form

Intersection of Two Circle

Family of Circles

The angle of the Intersection of Two Circle

Introduction to Conic Section

Parabola, Length of the Latus rectum and parametric form, Other Form of Parabola, General equation of Parabola

Tangents of Parabola in Point Form,Tangents of Parabola in Slope Form

What is Ellipse?

Length of Latusrectum

Parametric equation of Ellipse

Horizontal and Vertical Ellipse

Length of Latusrectum and Parametric Equation of Hyperbola, Conjugate Hyperbola

Position of a point with respect to Hyperbola

Equation of Tangent of Hyperbola in Point Form, Equation of Tangent of Hyperbola in Parametric Form, and Slope Form

Rectangular Hyperbola

Three Dimensional Geometry

Equations for a Line in Space

The Shortest Distance between Two Lines

Equation of a plane in normal form

Equation of a plane perpendicular to a given vector and passing through a given point

Equation of a Plane Passing Through a Given Point and Parallel to Two Given Vectors

Family of Plane

Distance of a Point From a Plane

Image of a Point in the Plane

Equation of The Plane Bisecting the Angle Between Two Planes

Line of Intersection of Two Plane and Angle Between a Line and a Plane, Intersection of Line and Plane

Coplanarity of Two Lines

Vector Algebra

Types of Vectors

Direction Cosines and Direction Ratio

Component of Vector and Vector Joining Two Points

Multiplication of a Vector by a Scalar

Section Formula

Dot (Scalar) Product of Two Vectors, Dot (Scalar) Product in Terms of Components

Finding Components of a Vector Along and Perpendicular to another Vector

Vector (or Cross) Product of Two Vectors, Vector Product in Terms of Components

Geometrical Interpretation of Vector product

Scalar Triple Product

Vector Triple Product

Statistics and Probability

Mean, Median, Mode, and Central Values

Dispersion (Range, Mean Deviation)

Dispersion (Variance and Standard Deviation)

Important Terminologies and Definitions of Probability

Algebra of Events

Set Theoretical Notations of Probability

Conditional Probability

Independent Event

Total Probability Theorem and Bayes' Theorem

Random Variables and its Probability Distributions

Bernoulli Trials and Binomial Distribution

Trigonometry

Trigonometric Ratio for Compound Angles (Part 1), Trigonometric Ratio for Compound Angles (Some more Result)

Measurement of Angle

Trigonometric Functions of Acute Angles

Trigonometric Identities

Double Angle Formula and Reduction Formula

Half Angle Formula

Trigonometric Equations, General Solution of some Standard Equations (Part 1)

Cosine Rule

Height and Distance

Inverse Trigonometric Function

Domain and range of Inverse Trigonometric Function (Part 1)

Complementary Angles

Multiple angles in terms of arctan and arccos


JEE Main 2025 Preparation Tips from Experts

Students are provided here with the preparation tips for JEE Main and Advanced. The tips are provided by experts. Below are the tips-

  • Study and complete the entire syllabus of the exam so that nothing is missed. Preparation should be done in a way to get a conceptual understanding of all topics in every subject and not rote memorization. Study from the right books, books which are easy to understand and have examples to clear the concepts. Take help from your teachers or coaching wherever necessary

  • Revise the topics regularly that you study. Revision is very important as topics that are not revised can get out of the memory and be easily forgotten.

  • Practice mock tests and sample papers. JEE Main mock tests and sample papers are very useful in self-evaluating the preparation level. Similarly, solving sample papers will help in getting rid of the exam fear, and questions and keeping track of time management.

  • Do not study anything new in the last week of preparation. Only take full-length practice sets and revise the JEE Advanced important topics in last week

  • Stay motivated and try to stay away from anxiety and stress.

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Questions related to JEE Main

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Hello,

Congratulations on your son's success for his excellent performance in 10th standard.Biomedical Engineering is a  growing field that combines engineering principles with medical and biological sciences to improve healthcare technology, such as medical devices, diagnostics, and artificial organs. The future prospects for biomedical engineering are bright, especially with advancements in healthcare, biotechnology,

For admission to VIT Vellore in B.Tech Biomedical Engineering, students need to appear for VITEEE (VIT Engineering Entrance Examination), conducted by the university itself. The exam is usually held in April every year, and the application forms are released around November–December. Since your son has just entered Class 11, he should focus on strengthening his Physics, Chemistry, and Mathematics (PCM) foundation, along with preparation for VITEEE and JEE Main for broader opportunities. Being residents of Mumbai does not affect eligibility; admission is purely based on VITEEE performance for general category students.

Encourage your son to stay consistent in his preparation. Apart from VIT, also keep options open like IITs, NITs (through JEE Advanced/Main) and other reputed private universities that offer biomedical engineering programs.

Wishing your son all the best for his preparation and future career.

With 91.13 percentile in JEE Main and 87.31 in MHT CET (PCM), and OBC-NCL category, your daughter has a good chance to get CS, IT, AI, or ENTC in decent Pune colleges like PCCOE, AISSMS, DY Patil Akurdi, or JSPM. Apply through both JEE and MHT CET CAP rounds.

With a rank of 1229 in OBC category, getting CSE at BIT Durg is unlikely as past cutoffs were much lower. However, the IT branch at BIT Durg is good with decent placements and can be a good alternative.

Hey! Since you’ve got 89 percentile in JEE Mains and 86 percentile in MHT-CET, and you belong to the OBC category, you do have some good options in both state and central colleges.

With your JEE percentile, getting into top NITs or IIITs might be difficult for CSE or core branches, but you might still get lower-demand branches in newer NITs or other institutes through the JoSAA counselling, especially if you include all rounds and choices carefully.

As for MHT-CET, 86 percentile is quite decent, especially for OBC category. In state counselling (CAP rounds), you could have a good chance in government or aided engineering colleges in Maharashtra, especially for branches like IT, ENTC, Electrical, or Mechanical. For CSE in top Mumbai or Pune colleges, cutoffs might be tighter, but you can still aim for mid-tier colleges where the closing ranks are higher.

Also, don’t forget to apply through both JEE and CET counselling, and fill in as many choices as possible to keep your options open.

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