JEE Main Maths Formulas 2025

Dewesh Nandan Prasad

Updated On: April 17, 2025 07:01 PM | JEE Main

JEE Main 2025 Math Formulas include all essential formulas from Algebra, Trigonometry, Coordinate Geometry, and more. Mastering them will maximise your score in the JEE Main 2025 exam. Check all the formulas of JEE Main Maths 2025 here.
JEE Main Maths Formulas 2025

JEE Main Maths Formulas 2025: Mathematics is the backbone of JEE Main, testing not just your calculation skills but also your problem-solving speed and analytical thinking. With 30 questions worth 100 marks, mastering JEE Main Math Formulas 2025 can make the difference between an average and a top rank. Keeping the JEE Main Maths formulas memorised saves time in exams, reduces errors, and covers 80 percent of the questions. This article has covered the formulas for Algebra, Coordinate Geometry, Calculus, Trigonometry, etc. With JEE Main 2025 Exam Session 2 around, you should know all the formulas of JEE Main 2025 Maths Syllabus by now. JEE Main 2025 Session 2 is being conducted from April 02, 2025, to April 09, 2025. Check and download the JEE Main 2025 math formula in the article.
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JEE Main Maths Formulas 2025

The JEE Main 2025 math formula plays an important role in qualifying for the JEE Main 2025 . Check the chapter-wise formula for the JEE Main Maths 2025 exam below:

JEE Main 2025 Algebra Formula

Check the JEE Main 2025 algebra formula in the table below:

Chapter

Formula

Application

Quadratic Roots

x = [-b ± √(b²-4ac)]/2a

Finding polynomial roots

Arithmetic Progression (AP)

Tₙ = a + (n-1)d, Sₙ = n/2 [2a + (n-1)d]

Sequence problems

Geometric Progression (GP)

Tₙ = arⁿ⁻¹, Sₙ = a(1-rⁿ)/(1-r)

Growth/decay problems

Binomial Expansion

(1+x)ⁿ = 1 + nx + n(n-1)x²/2! +... (for |x|<1)

Approximations

Logarithms

logₐ(mn) = logₐm + logₐn, logₐ(m/n) = logₐm - logₐn

Exponential equations

Read Also: JEE Main Chemistry Formulas 2025

JEE Main 2025 Coordinate Geometry Formula

Check the JEE Main 2025 coordinate geometry formula in the table below:

Chapter

Formula

Application

Distance Formula

√[(x₂-x₁)² + (y₂-y₁)²]

Length between points

Section Formula

P(x,y) = [(mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)]

Dividing line segments

Circle Equation:)

x² + y² + 2gx + 2fy + c = 0 (Center: (-g,-f)

Circle geometry

Parabola

y² = 4ax (Vertex at origin)

Conic sections

Ellipse

x²/a² + y²/b² = 1 (a > b)

Planetary motion problems

Also Read: Best Way to Attempt JEE Main Exam: Section-Wise Strategy

JEE Main 2025 Calculus Formula

Check the JEE Main 2025 calculus formula in the table below:

Chapter

Formula

Application

Differentiation Rules

  • d/dx (sinx) = cosx
  • d/dx (lnx) = 1/x

Rate of change problems

Integration Formulas

  • ∫eˣ dx = eˣ + C
  • ∫1/x dx = ln|x| + C

Area under curves

Definite Integral Property

  • ∫ₐᵇ f(x)dx = F(b) - F(a)

Net change applications

L'Hôpital's Rule

  • Lim (x→a) f(x)/g(x) = lim (x→a) f'(x)/g'(x)

0/0 or ∞/∞ limits

Check Also : JEE Main Physics 2025 Predicted Topics and Questions

JEE Main 2025 Trigonometry Formula

Check the JEE Main 2025 calculus formula in the table below:

Chapter

Formula

Application

Pythagorean Identities:

  • sin²θ + cos²θ = 1
  • 1 + tan²θ = sec²θ

Simplifying expressions

Sum/Difference:

  • sin(A±B) = sinAcosB ± cosAsinB
  • cos(A±B) = cosAcosB ∓ sinAsinB

Angle transformations

Double Angle

  • cos2θ = 1 - 2sin²θ = 2cos²θ - 1

Wave equations

Read Also: How to Prepare Maths for JEE Mains 2025

JEE Main 2025 Vectors & 3D Geometry Formula

Check the JEE Main 2025 Vectors & 3D Geometry Formula in the table below:

Chapter

Formula

Application

Dot Product

  • a·b = |a||b|cosθ

Angle between vectors

Cross Produc:

  • a×b = |a||b|sinθ n̂

Torque calculations

Line Equation

  • (x-x₁)/a = (y-y₁)/b = (z-z₁)/c

3D geometry problems

Plane Equation

  • ax + by + cz + d = 0

Spatial geometry

Read Also: JEE Main Chemistry 2025 Predicted Topics and Questions

JEE Main 2025 Maths Formula Sheet PDF

The JEE Main 2025 Maths formula sheet can be used for last-minute revisions and memorise the formulas for their best use. Check the JEE Main 2025 Maths Formula sheet PDF in the table below:

JEE Main 2025 Maths Formula Sheet PDF

Click Here

How to Use JEE Main 2025 Maths Formulas Effectively?

Check the best tricks to use the JEE Main 2025 Maths formula effectively through the points below:

  • Daily Revision: Spend 15 minutes/day reciting formulas aloud.
  • Practice Problems: Solve 5-10 formula-based questions daily from NCERT/ JEE Main Previous Year Question Papers .
  • Create Flashcards: Write tricky formulas (e.g., Integration by Parts) on sticky notes.
  • Mock Tests: Apply formulas under timed conditions.

Check Also: JEE Main 2025 Dress Code & Exam Centre Guidelines

JEE Main 2025 Maths Formula Tips

Check the formula tips for the JEE Main Maths exam below:

  • Calculus & Algebra formulas appear in 60% of JEE Main questions.
  • Coordinate Geometry and Vectors are high-scoring with direct formula applications.
  • Trigonometry requires less memorisation but offers quick marks.
Also Read: JEE Main 2025 Mathematics Chapter Wise Weightage

This article focuses on the JEE Main Maths formulas and their applications, which makes this article ideal for last-minute revision. We hope that you have got the benefit of the article and to score well in the JEE Main maths exam. All the best for your JEE Main exam!

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FAQs

Is the JEE Main 2025 exam fully MCQ based?

The JEE Main exam incorporates various question types, comprising multiple-choice questions (MCQs), numerical value-based questions, as well as drawing-based questions. With MCQs, candidates must select the correct answer from the given options.

 

Is JEE Mains score enough for getting admission into IIT?

No. The JEE Mains exam alone is not enough for securing admission into an IIT. JEE Advanced is the crucial examination required for IIT admissions, and candidates are required to qualify in the JEE Main exam to be eligible for the JEE Advanced exam.

 

Is 90% considered a good score in the JEE Mains 2025 entrance exam?

Yes, 90 is considered to be a good percentile in the JEE Main 2025 entrance exam. Candidates can secure admission into NITs, IITs or IISc Bangalore if they score a rank between 1,00,000 and 1,50,000 with a 90 percentile in the JEE Main exam.

 

Which is the hardest topic in the JEE Mains 2025 exam?

Mathematics is often considered to be the most challenging subject in the JEE Main exam, but its difficulty level varies from person to person. Some students may find other subjects more challenging based upon their strengths and weaknesses.

 

Is NCERT enough for the JEE Mains 2025 preparation?

NCERT books are very important to prepare for the JEE Main 2025 exam. The JEE Main exam follows the CBSE syllabus for 11th and 12th classes, so NCERT books are considered to be the most reliable and necessary study materials. NCERT books explain basic fundamental concepts in a simple and clear way.

 

Is it easy to score 99 percentile in the JEE Mains 2025 exam?

To score a 99+ percentile in the JEE Main 2025 exam, candidates require more than just knowing the JEE Main syllabus, as it required consistent practice, strategic revision, time management, and the ability to solve complex problems under pressure. However, with the appropriate resources, one can achieve these requirements.

 

Can I leave any section for the JEE Main 2025 exam?

All sections namely Mathematics, Physics, and Chemistry are mandatory in the JEE Main exam, with questions covering the entire JEE Main syllabus. To be eligible for admission, candidates must achieve the minimum qualifying marks in each subject and the overall aggregate.

 

Which topics are removed from the JEE Main 2025 syllabus?

The topics namely Scalars and vectors, vectors, addition and subtraction of vectors, scalar and vector products, unit vectors, and the resolution of vectors have been removed from the JEE Main 2025 Physics syllabus.

 

Is 75% required for the JEE Main 2025 exam?

Candidates must keep in mind that there is no requirement of 75% marks in class 12 for appearing in the JEE Mains exam. The JEE Main eligibility criteria of minimum 75% marks in class 12 is required at the time of securing admission across NITs, IIITs and GFTIs. Candidates can apply and appear in the JEE Mains 2025 exam irrespective of their class 12 marks.

 

Is PYQ enough for the JEE Mains 2025 preparation?

Previous year question papers are an important source for the JEE Main preparations. However, relying solely upon PYQs is not enough to fully prepare for the JEE Mains exam. Candidates must also focus on covering the entire syllabus, developing strong conceptual understanding, practising time management, and attempting mock tests.

 

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