Complex Numbers, Quadratic Equations, Progressions, Binomial Theorem, Matrices Section 1: Single Correct Option (+3, -1) Complex Numbers: , then the locus of (A) The real axis (B) The imaginary axis (C) A circle centered at the origin (D) A line Quadratic Equations: The value of for which the roots of are real and distinct is: (D) All real Section 2: Multiple Correct Options (+4, -1) Progression & Series: Consider an A.P. where are terms. If the common difference Binomial Theorem: In the expansion of , which of the following are true? (A) The sum of coefficients is 2 to the n-th power
Chapter 7: Probability - I
Print vs. PDF: Which One Should You Choose?
| Feature | Physical Book | New Edition PDF | | :--- | :--- | :--- | | Portability | Heavy (1.5 kg) | Light (on phone/laptop) | | Searchability | Manual index | Ctrl+F / Search function | | Annotation | Highlighter & sticky notes | PDF editors (ability to erase and restart) | | Eye strain | Low | High (use blue-cut glasses) | | Cost | ₹800–900 | ₹350 (Kindle) |
3. Complex Numbers
- Focus: Geometry of complex numbers, rotation theorem, cube roots of unity.
- New Edge: The 2024 print includes problems integrating complex numbers with coordinate geometry.
Advanced Algebra: Complex Numbers, Permutations and Combinations, and Binomial Theorem.
- Pause at every example and try it before reading the solution.
- Redo a Level 3 problem the next day without looking.
- Teach a friend the "why" behind a formula.
- Single Correct
- Multiple Correct
- Paragraph-based
- Numerical/Integer type
Complex Numbers: Extensive use of geometry in the complex plane, a favorite for competitive exams.
Key Features of the Book
- Theory: The concepts are explained in a lucid manner with solved examples interspersed within the theory.
- Illustrations: It includes a large number of solved examples (over 3000+ usually across the book) demonstrating various application methods.
- Levels of Difficulty: Exercises are often categorized into:
