1. The questions having higher difficult levels in the N.C.E.R.T. Textbook have been fully solved in the book. 2. Every chapter starts with the newly prescribed syllabus, importnat formulae and summary to help students to get a microscopic view of contents to follow. 3. At the end of every chapter, Test papers on the respective topics have been included to prepare the subject matter by the students regularly 4. For brilliant students, questions asked in various premier (competitive) entrance exams like IIT JEE & other engineering entrance exams 5. The whole syllabus is split up into small chapters in order to make the concepts clear and easy to understand 6. Pictures and realistic figures have been frequently added to make the abstruct topic lively. 7. Problems are linked with learners life and experiences so that the learner will realize how and why mathematics is useful all around us. 8. The focus is on developing the processes involved in mathematical reasoning. Table of Contents SETS AND FUNCTIONS 1. Sets 2. Cartesian product of sets and relations 3. Functions 4. Measurements of Angles 5. Trignometric Functions 6. Trignometric Ratios of Compound Angles 7. Transformation Formulae 8. Trignometric Functions of multiples and submultiples of angles 9. Trignometric Equations 10. Sine and Cosine Formulae ALGEBRA 11. Mathematical Induction 12. Complex Numbers 13. Polar form of complex Numbers 14. Quadratic Equations 15. Linear Inequalities 16. Permutations 17. Combinations 18. Binomial Theorem 19. Arithmetic Progression 20. Geometric Progression 21. Aritmetico-Geometric series and special series