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)