This book is a complete and comprehensive preparation resource for students of Class XI studying for the CBSE exams. It provides clear and concise explanations and coverage of all topics specified by NCERT, offers a multitude of problems drawn from the current and previous years' question papers as per the current NCERT Exam Pattern, and presents solutions to every single problem. With this, students are certain to be successful in achieving their ambitions.
Salient features:
Vikash Khatri obtained his MSc in Structural/Civil Engineering from the prestigious Indian Institute of Science, Bengaluru, and his PhD in Structural/Civil Engineering from Banaras Hindu University, Varanasi. He has more than a decade of teaching experience in various engineering colleges. He is the author of several test preparation books on mathematics and engineering.
Preface Acknowledgements Chapter 1: Sets Day 1: Sets and their Representation Day 2: NCERT Exercise 1.1 (With Solutions) Day 3: Types of Sets Day 4: NCERT Exercise 1.2 (With Solutions) Day 5: Subsets, Power Set and Universal Set Day 6: NCERT Exercise 1.3 (With Solutions) Day 7: Venn Diagrams and Operations on Sets Day 8: NCERT Exercise 1.4 (With Solutions) Day 9: Complement of a Set Day 10: NCERT Exercise 1.5 (With Solutions) Day 11: Practical Problems on Union and Intersection of Sets Day 12: NCERT Exercise 1.6 (With Solutions) Day 13: NCERT Miscellaneous Exercise (With Solutions) Day 14: NCERT Exemplar Problems: Solutions (Q1–Q20) Day 15: NCERT Exemplar Problems: Solutions (Q21–Q32) Day 16: NCERT Exemplar Problems: Solutions (Q33–Q57) Day 17: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 18: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 2: Relations and Functions Day 19: Cartesian Products of Sets Day 20: NCERT Exercise 2.1 (With Solutions) Day 21: Relations Day 22: NCERT Exercise 2.2 (With Solutions) Day 23: Functions Day 24: Real-Valued Functions Day 25: Graph of Real-Valued Functions-I Day 26: Graphs of Real-Valued Functions-II Day 27: Domain and Range of Real Functions-I Day 28: Domain and Range of Real Functions-II Day 29: Algebra of Real Functions Day 30: NCERT Exercise 2.3 (With Solutions) Day 31: NCERT Miscellaneous Exercise (With Solutions) Day 32: NCERT Exemplar Problems: Solutions (Q1–Q11) Day 33: NCERT Exemplar Problems: Solutions (Q12–Q25) Day 34: NCERT Exemplar Problems: Solutions (Q26–Q42) Day 35: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 36: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 3: Trigonometric Functions Day 37: Angles and their Measurement Day 38: NCERT Exercise 3.1 (With Solutions) Day 39: Trigonometric Functions Day 40: NCERT Exercise 3.2 (With Solutions) Day 41: Trigonometric Functions of Sum and Difference of Two Angles-I Day 42: Trigonometric Functions of Sum and Difference of Two Angles-II Day 43: Trigonometric Functions of Sum and Difference of Two Angles–III Day 44: NCERT Exercise 3.3 (With Solutions) Day 45: Trigonometric Equations Day 46: NCERT Exercise 3.4 (With Solutions) Day 47: Sine and Cosine Formulae Day 48: Sine and Cosine Formulae—Applications Day 49: NCERT Exercise 3.5 (With Solutions) Supplement Exercise Day 50: NCERT Miscellaneous Exercise (With Solutions) Day 51: NCERT Exemplar Problems: Solutions (Q1–Q23) Day 52: NCERT Exemplar Problems: Solutions (Q24–Q52) Day 53: NCERT Exemplar Problems: Solutions (Q53–Q76) Day 54: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 55: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Revision and Unit Test 1 Day 56: Revision (Chapter I) Day 57: Revision (Chapter II) Day 58: Revision (Chapter III) Day 59: Unit Test 1 (Chapters I–III) Day 60: Unit Test 1 (Solutions) Chapter 4: Principle of Mathematical Induction Day 61: Mathematical Induction-I Day 62: Mathematical Induction-II Day 63: NCERT Exercise 4.1 (With Solutions Q1–Q8) Day 64: NCERT Exercise 4.1 (With Solutions Q9–Q15) Day 65: NCERT Exercise 4.1 (With Solutions Q16–Q24) Day 66: NCERT Exemplar Problems: Solutions (Q1–Q16) Day 67: NCERT Exemplar Problems: Solutions (Q17–Q30) Day 68: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 5: Complex Numbers and Quadratic Equations Day 69: Algebra of Complex Numbers Day 70: Conjugate and Modulus of a Complex Number Day 71: NCERT Exercise 5.1 (With Solutions) Day 72: Argand Plane and Polar Representation of a Complex Number Day 73: NCERT Exercise 5.2 (With Solutions) Day 74: Quadratic Equations with Complex Roots NCERT Exercise 5.3 (With Solutions) Day 75: Square-root of a Complex Number NCERT Exercise 5.4 (With Solutions) Supplement Exercise Day 76: NCERT Miscellaneous Exercise (With Solutions) Day 77: NCERT Exemplar Problems: Solutions (Q1–Q20) Day 78: NCERT Exemplar Problems: Solutions (Q21–Q27) Day 79: NCERT Exemplar Problems: Solutions (Q28–Q50) Day 80: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 81: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 6: Linear Inequalities Day 82: Linear Inequalities in One Variable NCERT Exercise 6.1 (With Solutions Q1–Q11) Day 83: NCERT Exercise 6.1 (With Solutions Q12–Q26) Day 84: Linear Inequalities in Two Variables NCERT Exercise 6.2 (With Solutions) Day 85: NCERT Exercise 6.3 (With Solutions) Day 86: NCERT Miscellaneous Exercise (With Solutions) Day 87: NCERT Exemplar Problems: Solutions (Q1–Q18) Day 88: NCERT Exemplar Problems: Solutions (Q19–Q32) Day 89: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 90: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 7: Permutations and Combinations Day 91: Fundamental Principle of Counting NCERT Exercise 7.1 (With Solutions) Day 92: Permutations NCERT Exercise 7.2 (With Solutions) Day 93: Theorems of Permutations Day 94: NCERT Exercise 7.3 (With Solutions) Day 95: Combinations Day 96: NCERT Exercise 7.4 (With Solutions) Day 97: NCERT Miscellaneous Exercise (With Solutions) Day 98: NCERT Exemplar Problems: Solutions (Q1–Q18) Day 99: NCERT Exemplar Problems: Solutions (Q19–Q40) Day 100: NCERT Exemplar Problems: Solutions (Q41–Q64) Day 101: Very Short Answer (VSA 1): Mark and Short Answer (SA): 2-Mark Questions Day 102: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 8: Binomial Theorem Day 103: Pascal’s Triangle Day 104: NCERT Exercise 8.1 (With Solutions) Day 105: General and Middle Terms in a Binomial Expansion Day 106: NCERT Exercise 8.2 (With Solutions) Day 107: Binomial Theorem for Any Index Day 108: NCERT Miscellaneous Exercise (With Solutions) Day 109: NCERT Exemplar Problems: Solutions (Q1–Q16) Day 110: NCERT Exemplar Problems: Solutions (Q17–Q40) Day 111: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 112: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 9: Sequences and Series Day 113: Sequence Series Day 114: NCERT Exercise 9.1 (With Solutions) Day 115: Arithmetic Progression Day 116: NCERT Exercise 9.2 (With Solutions) Day 117: Geometric Progression and Geometric Mean NCERT Exercise 9.3 (With Solutions Q1–Q11) Day 118: NCERT Exercise 9.3 (With Solutions Q12–Q32) Day 119: Special Series NCERT Exercise 9.4 (With Solutions) Day 120: Infinite Geometric Progression (GP) NCERT Exercise 9.5 (With Solutions) Supplement Exercise Day 121: NCERT Miscellaneous Exercise (With Solutions Q1–Q18) Day 122: NCERT Miscellaneous Exercise (With Solutions Q19–Q32) Day 123: NCERT Exemplar Problems: Solutions (Q1–Q17) Day 124: NCERT Exemplar Problems: Solutions (Q18–Q36) Day 125: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 126: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Revision and Unit Test 2 Day 127: Revision (Chapters IV–VII) Day 128: Revision (Chapters VIII–IX) Day 129: Unit Test 2 (Chapters IV–IX) Day 130: Unit Test 2 (Solutions) Chapter 10: Basics of Two-Dimensional Coordinate Geometry Day 131: Cartesian System Rectangular Coordinate System Distance Formula Section Formula Area of a Triangle Day 132: Slope of a Line Day 133: NCERT Exercise 10.1 (With Solutions) Day 134: Various Forms of the Equation of a Line Day 135: NCERT Exercise 10.2 (With Solutions) Day 136: General Equation of a Line Day 137: NCERT Exercise 10.3 (With Solutions) Day 138: Equation of Family of Lines Passing Through the Point of Intersection of Two Lines NCERT Exercise 10.4 (With Solutions) Supplement Exercise Day 139: Shifting of Origin NCERT Exercise 10.5 (With Solutions) Supplement Exercise Day 140: NCERT Miscellaneous Exercise (With Solutions Q1–Q13) Day 141: NCERT Miscellaneous Exercise (With Solutions Q14–Q24) Day 142: NCERT Exemplar Problems: Solutions (Q1–Q25) Day 143: NCERT Exemplar Problems: Solutions (Q26–Q59) True/False Day 144: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 145: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 11: Conic Sections Day 146: Circle Day 147: NCERT Exercise 11.1 (With Solutions) Day 148: Parabola Day 149: NCERT Exercise 11.2 (With Solutions) Day 150: Ellipse Day 151: NCERT Exercise 11.3 (With Solutions) Day 152: Hyperbola Day 153: NCERT Exercise 11.4 (With Solutions) Day 154: NCERT Miscellaneous Exercise (With Solutions) Day 155: NCERT Exemplar Problems: Solutions (Q1–Q20) Day 156: NCERT Exemplar Problems: Solutions (Q21–Q40) Day 157: NCERT Exemplar Problems: Solutions (Q41–Q59) Day 158: Very Short Answer (VSA: 1-Mark) and Short Answer (SA: 2-Mark) Questions Day 159: Long Answer-I (LA-I: 4-Mark) and Long Answer-II (LA-II: 6-Mark) Questions Chapter 12: Introduction to Three-Dimensional Geometry Day 160: Coordinate Axes, Coordinate Planes and Coordinates of a Point in Three-Dimensional Space NCERT Exercise 12.1 (With Solutions) Day 161: Distance between Two Points NCERT Exercise 12.2 (With Solutions) Day 162: Section Formula NCERT Exercise 12.3 (With Solutions) Day 163: NCERT Miscellaneous Exercise (With Solutions) Day 164: NCERT Exemplar Problems: Solutions (Q1–Q18) Day 165: NCERT Exemplar Problems: Solutions (Q19–Q50) Day 166: Very Short Answer (VSA: 1-Mark) and Short Answer (SA: 2-Mark) Questions Day 167: Long Answer-I (LA-I: 4-Mark) and Long Answer-II (LA-II: 6-Mark) Questions Chapter 13: Limits and Derivatives Day 168: Limit of a Function Day 169: Algebra of Limits Day 170: Limits of Trigonometric Functions Day 171: NCERT Exercise 13.1 (With Solutions Q1–Q22) Day 172: NCERT Exercise 13.1 (With Solutions Q23–Q32) Day 173: Derivative: First Principle of Derivative Day 174: Algebra of Derivative of Functions Day 175: NCERT Exercise 13.2 (With Solutions Q1–Q9) Day 176: NCERT Exercise 13.2 (With Solutions Q10–Q11) Day 177: Limits of Exponential and Logarithmic Functions NCERT Exercise 13.3 (With Solutions) Day 178: NCERT Miscellaneous Exercise (With Solutions Q1–Q12) Day 179: NCERT Miscellaneous Exercise (With Solutions Q13–Q30) Day 180: NCERT Exemplar Problems: Solutions (Q1–Q15) Day 181: NCERT Exemplar Problems: Solutions (Q16–Q28) Day 182: NCERT Exemplar Problems: Solutions (Q29–Q46) Day 183: NCERT Exemplar Problems: Solutions (Q47–Q62) Day 184: NCERT Exemplar Problems: Solutions (Q63–Q80) Day 185: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 186: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Revision and Unit Test 3 Day 187: Revision (Chapters X–XI) Day 188: Revision (Chapters XII–XIII) Day 189: Unit Test 3 (Chapters X–XIII) Day 190: Unit Test 3 (Solutions) Chapter 14: Mathematical Reasoning Day 191: Statements NCERT Exercise 14.1 (With Solutions) Day 192: Negation of a Statement and Compounds Statements NCERT Exercise 14.2 (With Solutions) Day 193: Special Words/Phases NCERT Exercise 14.3 (With Solutions) Day 194: Implication, Contrapositive and Converse NCERT Exercise 14.4 (With Solutions) Day 195: Validating Statements NCERT Exercise 14.5 (With Solutions) Day 196: NCERT Miscellaneous Exercise (With Solutions) Day 197: NCERT Exemplar Problems: Solutions (Q1–Q11) Day 198: NCERT Exemplar Problems: Solutions (Q12–Q37) Day 199: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 200: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Chapter 15: Statistics Day 201: Mean Deviation Day 202: NCERT Exercise 15.1 (With Solutions) Day 203: Variance and Standard Deviation Day 204: NCERT Exercise 15.2 (With Solutions) Day 205: Analysis of Frequency Distributions NCERT Exercise 15.3 (With Solutions) Day 206: NCERT Miscellaneous Exercise (With Solutions) Day 207: NCERT Exemplar Problems: Solutions (Q1–Q19) Day 208: NCERT Exemplar Problems: Solutions (Q20–Q46) Chapter 16: Probability Day 209: Sample Space Day 210: NCERT Exercise 16.1 (With Solutions) Day 211: Event Day 212: NCERT Exercise 16.2 (With Solutions) Day 213: Probability of an Event Day 214: NCERT Exercise 16.3 (With Solutions) Day 215: NCERT Miscellaneous Exercise (With Solutions) Day 216: NCERT Exemplar Problems: Solutions (Q1–Q15) Day 217: NCERT Exemplar Problems: Solutions (Q16–Q43) Day 218: Very Short Answer (VSA): 1-Mark and Short Answer (SA): 2-Mark Questions Day 219: Long Answer-I (LA-I): 4-Mark and Long Answer-II (LA-II): 6-Mark Questions Day 220: Revision (Chapters XIV–XVI) Sample Papers Day 221: Sample Paper – I (Full Syllabus) Day 222: Sample Paper – I (Solutions) Day 223: Sample Paper – II (Full Syllabus) Day 224: Sample Paper – II (Solutions) Day 225: Sample Paper – III (Full Syllabus) Day 226: Sample Paper – III (Solutions) Day 227: Sample Paper – IV (Full Syllabus) Day 228: Sample Paper – IV (Solutions) Day 229: Sample Paper – V (Full Syllabus) Day 230: Sample Paper – V (Solutions) Day 231: Sample Paper – VI (Full Syllabus) Day 232: Sample Paper – VI (Solutions) Day 233: Sample Paper – VII (Full Syllabus) Day 234: Sample Paper – VII (Solutions) Day 235: Sample Paper – VIII (Full Syllabus) Day 236: Sample Paper – VIII (Solutions) Day 237: Sample Paper – IX (Full Syllabus) Day 238: Sample Paper – IX (Solutions) Day 239: Sample Paper – X (Full Syllabus) Day 240: Sample Paper – X (Solutions)