I feel pleasure in presenting the book “Objective Mathematics” for the students aspiring to compete for IIT-JEE and AIEEE and other different competitive examinations in different professional colleges of the country. The book is strictly in accordance with the current trends of different examinations.
The Guide to Objective Mathematics for Engineering Entrance Examination is an outcome of thirty-wo years of experience in guiding students successfully in various engineering entrance examinations. Comprising of thirty-seven chapters, this book emphasizes on making the students understand the concepts explaining the fundamental principles in a lucid and unambiguous manner and guiding them in learning and retaining the techniques of solving the problems in the minimum possible time. The book is noteworthy in the following aspects:
- Each chapter contains concise definitions and explanations of basic principles and illustrative examples to enable the students to recall the subject matter of the chapter before attempting to answer the questions.
- Problems have been categorised into various types, and working rules to help the students in solving them have also been provided.
- Large number of problems that have been asked in the competitive examinations in the recent past have been included in the text.
- To enable the students make a self-assessment, practice exercises covering all the topics in each chapter have been provided at the end.
- Eleven Self-valuation Papers based on different competitive examinations have been provided at the end to facilitate students understand the pattern and the type of questions asked in different examinations.
- The answers to almost all unsolved problems have been thoroughly checked.
Contents –
1. Sets, Relations and Functions
2. Complex Numbers
3. Progressions
4. Quadratic Equations
5. Logarithms
6. Miscellaneous Equations
7. Permutation and Combination
8. Binomial Theorem
9. Exponential and Logarithmic Series
10. Determinants
11. Matrices
12. Measurement of Angles
13. Trigonometrical Ratios and Identities
14. Trigonometrical Equations and General Values
15. Inverse Circular Functions
16. Properties and Solutions of Triangles
17. Heights and Distances
18. Co-ordinates, Lengths of Segments
19. The Straight Line
20. Pair of Straight Lines
21. The Circle
22. Conic Sections
23. Co-ordinate Geometry (3D)
24. Vectors
25. Limits
26. Continuity and Discontinuity
27. Differentiation
28. Application of Derivatives
29. Indefinite Integral
30. Definite Integrals
31. Differential Equations
32. Probability
33. Statistics
34. Statics
35. Dynamics
Evaluate Yourself
Memory Map/Formulas
Solved Question Papers – JEE (Main) 2019 to 2024
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