Important Formulas for JEE Mains & Advanced
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# Important Formulas for JEE Mains

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The Important Formulas for JEE Mains & Advanced course by EduRev is the perfect resource for JEE aspirants. This comprehensive course covers all the e ... view more ssential formulas required for both JEE Mains and Advanced exams. With detailed explanations and examples, students can easily grasp the concepts and apply them to solve complex problems. This course is designed to help students master the formulas, enabling them to excel in their JEE exams. Trust EduRev for a complete and effective preparation for JEE Mains and Advanced.

## Important Formulas for JEE Mains Study Material

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## Important Formulas for JEE Mains & Advanced Exam Pattern 2024-2025

Important Formulas for JEE Mains & Advanced Exam Pattern for JEE

Mathematics Formulas:
1. Quadratic Equation: The solutions of a quadratic equation ax^2 + bx + c = 0 can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / 2a

2. Trigonometric Ratios: Some important trigonometric ratios are:
- sin(A + B) = sinAcosB + cosAsinB
- cos(A + B) = cosAcosB - sinAsinB
- tan(A + B) = (tanA + tanB) / (1 - tanAtanB)

3. Binomial Theorem: The expansion of (a + b)^n can be found using the formula:
(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn * a^0 * b^n

4. Limits: The limit of a function f(x) as x approaches a can be found using various formulas such as:
- lim(x→a) (c) = c (where c is a constant)
- lim(x→a) (x^n) = a^n (where n is a positive integer)
- lim(x→a) (sinx/x) = 1

5. Differentiation: The derivative of a function f(x) can be found using formulas like:
- d/dx (c) = 0 (where c is a constant)
- d/dx (x^n) = nx^(n-1) (where n is a positive integer)
- d/dx (sinx) = cosx

Physics Formulas:
1. Newton's Laws of Motion:
- F = ma (Newton's Second Law)
- F = G * (m1 * m2) / r^2 (Universal Law of Gravitation)
- F = -kx (Hooke's Law)

2. Kinematics Formulas:
- v = u + at (Equation of Motion)
- s = ut + 0.5at^2 (Equation of Motion)
- v^2 = u^2 + 2as (Equation of Motion)

3. Work, Energy, and Power:
- W = F * s * cosθ (Work done by a force)
- KE = 0.5 * mv^2 (Kinetic Energy)
- P = W / t (Power)

4. Thermodynamics:
- Q = mcΔT (Heat Transfer)
- ΔU = Q - W (Change in Internal Energy)
- PV = nRT (Ideal Gas Equation)

5. Electromagnetism:
- V = IR (Ohm's Law)
- F = qvB sinθ (Lorentz Force Law)
- E = V/d (Electric Field)

Chemistry Formulas:
1. Atomic Structure:
- E = -13.6 * (Z^2 / n^2) eV (Energy of an electron in a hydrogen-like atom)
- λ = h / mv (de Broglie wavelength)

2. Chemical Equations:
- n1 / n2 = V1 / V2 (Avogadro's Law)
- PV = nRT (Ideal Gas Equation)

3. Chemical Bonding:
- ΔG = ΔH - TΔS (Gibbs Free Energy)
- E = E° - (0.0592/n) log(Q) (Nernst Equation)

4. Organic Chemistry:
- RCOOH + R'NH2 → RCONHR' + H2O (Formation of Amides)
- RCOOH + R'OH → RCOOR' + H2O (Esterification)

5. Coordination Compounds:
- Δ_o = 10Dq (Crystal Field Splitting Energy)
- [Cu(NH3)4]2+ (Tetraamminecopper(II)) (Coordination Complex)

Remember to practice these formulas regularly and understand their applications to excel in the JEE Mains & Advanced examinations.
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JEE Important Formulas for JEE Mains & Advanced

### JEE Physics

1. Mechanics:
- Newton's laws of motion
- Work, energy, and power
- Circular motion and rotational dynamics
- Gravitation
- Elasticity and fluids
- Oscillations and waves

2. Electrostatics and Magnetism:
- Coulomb's law
- Electric field and potential
- Gauss's law
- Capacitance and dielectrics
- Magnetic field and forces
- Electromagnetic induction
- AC circuits

3. Optics:
- Reflection and refraction
- Lens and mirror formulae
- Interference and diffraction
- Polarization

4. Modern Physics:
- Dual nature of matter and radiation
- Atomic and nuclear physics
- Semiconductors and electronic devices

### JEE Mathematics

1. Algebra:
- Complex numbers and quadratic equations
- Matrices and determinants
- Permutations and combinations
- Probability
- Binomial theorem and its applications

2. Trigonometry:
- Trigonometric ratios and identities
- Trigonometric equations
- Heights and distances

3. Co-ordinate Geometry:
- Straight lines and circles
- Conic sections
- Three-dimensional geometry

4. Calculus:
- Functions, limits, and continuity
- Differentiation and its applications
- Integration and its applications
- Differential equations

### JEE Chemistry

1. Physical Chemistry:
- States of matter
- Atomic structure
- Chemical bonding and molecular structure
- Thermodynamics
- Chemical equilibrium
- Redox reactions and electrochemistry
- Chemical kinetics
- Surface chemistry

2. Inorganic Chemistry:
- Classification of elements and periodicity
- Hydrogen and its compounds
- S-Block elements
- P-Block elements
- D-Block and F-Block elements
- Coordination compounds

3. Organic Chemistry:
- Basic principles and techniques
- Hydrocarbons
- Haloalkanes and haloarenes
- Alcohols, phenols, and ethers
- Aldehydes, ketones, and carboxylic acids
- Amines
- Polymers and biomolecules
- Chemistry in everyday life

By thoroughly understanding and practicing these important formulas and concepts, students can enhance their preparation for JEE Mains and Advanced. Remember to revise regularly and solve plenty of practice questions to strengthen your understanding and problem-solving skills. Good luck!

This course is helpful for the following exams: JEE

## How to Prepare Important Formulas for JEE Mains & Advanced?

How to Prepare Important Formulas for JEE Mains & Advanced for JEE?

Preparing for JEE Mains and Advanced can be a daunting task, considering the vast syllabus and intense competition. One of the key aspects of effective preparation is to have a solid grasp of the important formulas that are frequently asked in the exams. Understanding and mastering these formulas can significantly enhance your problem-solving skills and boost your chances of success. Here are some essential tips on how to prepare and revise important formulas for JEE Mains & Advanced.

1. Organize your study materials: Start by gathering all the relevant study materials, including textbooks, reference books, and class notes. Categorize the topics based on their respective subjects, such as mathematics, physics, and chemistry. Having all the formulas in one place will make it easier for you to revise and practice.

2. Create formula sheets: Once you have organized your study materials, create formula sheets for each subject. Include all the important formulas, equations, and concepts that you need to memorize. Highlight the key points or formulas that are frequently used in problem-solving. These formula sheets will serve as quick references during your revision.

3. Understand the derivations: Don't just memorize the formulas without understanding their derivations. Take the time to understand the logic and principles behind each formula. This will help you derive the formulas on your own during exams if you forget them. Understanding the derivations will also give you a deeper insight into the concepts and make problem-solving easier.

4. Practice regularly: Constant practice is the key to mastering the important formulas. Solve a variety of problems that require the application of these formulas. This will help you develop a strong intuitive understanding of how and when to use each formula. Regular practice will also improve your speed and accuracy in solving problems.

5. Utilize flashcards: Another effective way to memorize formulas is by using flashcards. Write down a formula on one side of the flashcard and its derivation or explanation on the other side. Review these flashcards regularly to reinforce your memory. This method is particularly useful for memorizing complex and lengthy formulas.

6. Solve previous year question papers: Solve previous year question papers and mock tests to familiarize yourself with the exam pattern and the type of questions that are frequently asked. Analyze the papers to identify the formulas that are repeatedly used. Focus on practicing these formulas to improve your performance in the exams.

7. Seek help from online resources: Online platforms like EduRev offer comprehensive courses specifically designed to help students prepare for JEE Mains and Advanced. These courses provide video lectures, study materials, and practice questions, all tailored to the JEE syllabus. Utilize these resources to reinforce your understanding of important formulas.

Conclusion:
Preparing for JEE Mains and Advanced requires a systematic and focused approach. Mastering the important formulas is an essential part of this preparation. By organizing your study materials, creating formula sheets, understanding derivations, practicing regularly, utilizing flashcards, solving previous year question papers, and seeking help from online resources, you can effectively prepare and revise the important formulas for JEE Mains and Advanced. With consistent effort and dedication, you can improve your problem-solving skills and ace the exams.

## Importance of Important Formulas for JEE Mains & Advanced

Importance of Important Formulas for JEE Mains & Advanced Course for JEE

The JEE Mains & Advanced examination is highly competitive and requires thorough preparation in order to excel. One of the key aspects of preparation is understanding and memorizing the important formulas. These formulas serve as the backbone of various mathematical and scientific concepts that are tested in the JEE examination. EduRev, a leading platform for JEE preparation, offers a comprehensive course specifically designed to help students master these important formulas.

The Significance of Important Formulas

The JEE examination consists of complex problem-solving questions that require a deep understanding of the underlying principles. While understanding the concepts is crucial, it is equally important to have quick access to the relevant formulas. Memorizing these formulas not only saves time during the examination but also enables students to approach the questions in a systematic manner. By having a strong grasp of the important formulas, students can solve problems efficiently and accurately.

The Role of EduRev's Course

EduRev's course on Important Formulas for JEE Mains & Advanced is a comprehensive resource that covers all the essential formulas required for the examination. The course is meticulously designed by experienced educators who have a deep understanding of the JEE syllabus. It includes detailed explanations, examples, and practice problems to help students grasp the formulas effectively.

Key Features of the Course

1. Comprehensive Coverage: The course covers all the important formulas from various topics including Mathematics, Physics, and Chemistry. It provides a holistic understanding of the formulas, making it easier for students to apply them in different problem-solving scenarios.

2. Easy Memorization Techniques: EduRev's course incorporates innovative techniques to aid memorization of the formulas. Mnemonics, visual aids, and step-by-step approaches are used to make the formulas easier to remember.

3. Conceptual Clarity: The course not only focuses on memorizing the formulas but also emphasizes understanding the underlying concepts. By explaining the derivation and logic behind each formula, students can develop a deeper understanding of the subject matter.

4. Practice Questions: The course includes a wide range of practice questions that are designed to reinforce the application of the formulas. These questions are curated to mimic the difficulty level of the JEE examination, enabling students to assess their preparation effectively.

5. Time-Saving Techniques: The course provides valuable tips and tricks to solve problems quickly and efficiently. By mastering these techniques, students can save precious time during the examination and tackle a larger number of questions.

Conclusion

In the highly competitive JEE Mains & Advanced examination, having a strong command over the important formulas is essential. EduRev's course on Important Formulas for JEE Mains & Advanced equips students with the necessary knowledge and skills to excel in the examination. By enrolling in this course, students can enhance their problem-solving abilities, improve their accuracy, and ultimately increase their chances of securing a top rank in the JEE examination.

## Important Formulas for JEE Mains & Advanced FAQs

 1. What are some important formulas for JEE Mains and Advanced?
Ans. Some important formulas for JEE Mains and Advanced are: 1. Quadratic formula: The quadratic formula is used to find the roots of a quadratic equation. It is given by: x = (-b ± √(b^2 - 4ac)) / (2a) 2. Trigonometric identities: Trigonometric identities are used in solving problems involving angles and triangles. Some important identities include: - Sin^2θ + Cos^2θ = 1 - 1 + Tan^2θ = Sec^2θ - 1 + Cot^2θ = Cosec^2θ 3. Binomial theorem: The binomial theorem is used to expand expressions of the form (a + b)^n. It is given by: (a + b)^n = C(n, 0) * a^n * b^0 + C(n, 1) * a^(n-1) * b^1 + ... + C(n, r) * a^(n-r) * b^r + ... + C(n, n) * a^0 * b^n 4. Laws of motion: The laws of motion, formulated by Sir Isaac Newton, are fundamental principles used in solving problems related to motion. Some important laws include: - Newton's first law (Law of inertia): An object at rest will stay at rest, and an object in motion will stay in motion with the same speed and direction, unless acted upon by an external force. - Newton's second law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. - Newton's third law: For every action, there is an equal and opposite reaction. 5. Ohm's law: Ohm's law relates the current flowing through a conductor to the voltage across it and the resistance of the conductor. It is given by: V = IR, where V is the voltage, I is the current, and R is the resistance.
 2. How can the quadratic formula be used to find the roots of a quadratic equation?
Ans. The quadratic formula is used to find the roots of a quadratic equation of the form ax^2 + bx + c = 0. The formula is given by: x = (-b ± √(b^2 - 4ac)) / (2a) To find the roots using the quadratic formula, follow these steps: 1. Identify the values of a, b, and c in the quadratic equation. 2. Substitute these values into the quadratic formula. 3. Simplify the expression inside the square root, i.e., calculate b^2 - 4ac. 4. If the expression inside the square root is positive, take the square root and evaluate the two possible values of x by substituting the positive and negative square root values separately into the formula. 5. If the expression inside the square root is zero, take the square root and evaluate x by substituting the value into the formula. This will give a repeated root. 6. If the expression inside the square root is negative, the quadratic equation has no real roots.
 3. What are some important trigonometric identities used in JEE exams?
Ans. Trigonometric identities are used extensively in JEE exams to solve problems involving angles and triangles. Some important trigonometric identities include: 1. Sin^2θ + Cos^2θ = 1: This is the Pythagorean identity, which holds true for all values of θ. 2. 1 + Tan^2θ = Sec^2θ: This identity relates the tangent and secant functions. 3. 1 + Cot^2θ = Cosec^2θ: This identity relates the cotangent and cosecant functions. 4. Sin(A ± B) = SinA * CosB ± CosA * SinB: This identity is used to find the sine of the sum or difference of two angles. 5. Cos(A ± B) = CosA * CosB ∓ SinA * SinB: This identity is used to find the cosine of the sum or difference of two angles. 6. Tan(A ± B) = (TanA ± TanB) / (1 ∓ TanA * TanB): This identity is used to find the tangent of the sum or difference of two angles. These identities, along with others, are essential for solving trigonometric equations, simplifying expressions, and proving trigonometric identities in JEE exams.
 4. How can the binomial theorem be used to expand expressions?
Ans. The binomial theorem is a powerful tool used to expand expressions of the form (a + b)^n,
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.

## Best Coaching for Important Formulas for JEE Mains & Advanced

When it comes to preparing for JEE Mains & Advanced, having access to the best coaching and study materials is crucial. EduRev, the leading online education platform, offers free online coaching for JEE Mains & Advanced, providing students with a comprehensive resource to excel in their exams. The platform offers a wide range of study materials, including downloadable PDFs, summaries, and important chapters, making it convenient for students to access the information they need anytime, anywhere. EduRev also provides a collection of important formulas for JEE Mains & Advanced, covering physics, chemistry, and mathematics. These formulas are accompanied by examples, allowing students to understand and apply them effectively. Moreover, EduRev's JEE Mains & Advanced formulas are designed to help students with quick revision, ensuring that they have all the important formulas and concepts at their fingertips. With EduRev, students can easily remember important formulas and shortcuts that are essential for success in JEE Mains & Advanced. By utilizing the free online coaching and study materials provided by EduRev, students can confidently prepare for their exams and maximize their chances of achieving a high score.

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