OBJECTIVE MATHEMATICS
For Engineering Entrance Examinations
Preface to Third Edition v
Preface vi
1. Functions 1
2. Limits 43
3. Continuity and Differentiability 75
4. Differentiation 107
5. Applications of Derivatives 137
6. Indefinite Integration 189
7. Definite Integral and Area 231
8. Differential Equations 305
9. Coordinates and Straight Lines 325
10. Pair of Straight Lines 371
11. Circles 388
12. Conic Sections 443
13. Complex Numbers 515
14. Sequences and Series 565
15. Quadratic Equations and Inequations 621
16. Permutations and Combinations 665
17. Binomial Theorem 695
18. Exponential and Logarithmic Series 729
19. Matrices 739
20. Determinants 763
21. Trigonometric Ratios and Identities 793
22. Trigonometric Equations 829
23. Inverse Trigonometric Functions 847
24. Properties and Solutions Triangles 866
25. Heights and Distances 892
26. Probability 904
27. Statistics 949
28. Vectors 969
29. Three Dimensional Geometry 1021
30. Statics 1047
31. Dynamics 1086
32. Set Theory 1113
33. Numerical Methods 1128
34. Linear Programming 1139
35. Hyperbolic Functions 1146
Model Test Papers 1151
Solutions to Model Test Papers
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