Preparing for engineering entrance examinations like JEE requires not only strong concepts but also quick access to important formulas. The uploaded PDF titled Mathematics Formula Book for Engineering Entrance Examinations is designed as a compact reference guide that brings together short formulas and key results from almost every major topic in Mathematics. From coordinate geometry and calculus to limits, differentiation, integration, and applications of derivatives, the book aims to help students revise faster and practise smarter.
I am writing about this PDF because many aspirants spend a lot of time searching for scattered formula sheets across different books and websites. This formula book simplifies that process by placing essential formulas in one organised document. Knowing what this PDF contains and how to use it effectively can make a real difference during revision, especially in the final weeks before an exam. Mathematics- IIT – Formula Book
What This Mathematics Formula Book Offers
The PDF is structured as a chapter-wise collection of short formulas and standard results. Each page focuses on a particular area of Mathematics and lists formulas in a concise, exam-friendly manner.
Broadly, the book covers:
- Coordinate geometry
- Conic sections
- Limits and continuity
- Differentiation
- Applications of derivatives
- Indefinite integration
- Integration by substitution and by parts
- Trigonometric integrals
- Useful mensuration formulas
This makes it suitable for quick revision and last-minute brushing up.
Short Formulas for Straight Lines and Coordinate Geometry
Early pages of the PDF focus on straight lines and basic coordinate geometry. Students will find formulas for:
- Distance between two points
- Section formula (internal and external division)
- Centroid, in-centre, and ex-centre of a triangle
- Area of a triangle using determinant form
- Slope of a line and angle between two lines
- Conditions of parallelism and perpendicularity
- Distance between parallel lines
These formulas are commonly used in objective-type questions.
Circle Formulas and Key Results
The circle section includes formulas related to:
- Intercepts made by a circle on axes
- Parametric equations of a circle
- Equation of tangent in slope and point form
- Pair of tangents from an external point
- Length of tangent
- Director circle
- Chord of contact
All results are presented in short and direct form for quick recall.
Parabola, Ellipse, and Hyperbola
The PDF provides standard equations and important results for conic sections, including:
- Standard equations of parabola, ellipse, and hyperbola
- Parametric representations
- Tangent and normal in different forms
- Latus rectum, vertices, foci, and rememberable results
- Asymptotes of hyperbola
- Rectangular or equilateral hyperbola
These sections are very helpful for JEE-level problems.
Limits of Functions
A dedicated part of the PDF lists:
- Standard limit results
- Indeterminate forms
- Limit using expansion formulas
- Sandwich (squeeze) theorem
These formulas help students quickly evaluate limits without lengthy derivations.
Download this Mathematics- IIT – Formula Book PDF File: Click Here
Method of Differentiation
The differentiation section contains:
- Derivatives of standard functions
- Basic rules such as sum, product, quotient, and chain rule
- Derivatives of inverse trigonometric functions
- Logarithmic differentiation
- Parametric differentiation
This section acts as a ready reference while solving calculus problems.
Applications of Derivatives
Formulas included here relate to:
- Equation of tangent and normal
- Tangent from an external point
- Length of tangent, normal, subtangent, and subnormal
- Angle between two curves
- Shortest distance between curves
- Rolle’s Theorem and Lagrange’s Mean Value Theorem
These topics frequently appear in entrance exams.
Indefinite Integration
The integration section includes:
- Standard integrals
- Integration by substitution
- Integration by parts
- Integration of rational functions
- Trigonometric integrals
- Special forms and reduction ideas
This makes revision of integrals much more manageable.
Useful Mensuration Formulas
At the end, the PDF lists formulas for:
- Volume and surface area of cube, cuboid, cylinder, cone, and sphere
- Area of circle and sector
- Volume and surface area of prism and pyramid
These formulas are useful in application-based questions.
How Students Can Use This PDF Effectively
- Keep it as a daily revision sheet
- Revise formulas before solving practice questions
- Use it for last-minute revision before tests
- Combine it with problem-solving for better retention
Who Should Use This Formula Book
- JEE Main and JEE Advanced aspirants
- Other engineering entrance exam candidates
- Class 11 and 12 Mathematics students
- Teachers and coaching faculty
