Complex numbers, P&C, Binomial Expansion 2 NDA Pyqs

00:00 - Introduction and Overview of NDA 2020/2021 Topics 00:15 - Finding the Argument of a Complex Number (Z/Z conjugate) 06:37 - Binomial Expansion: Sum of Last Five Coefficients 11:15 - Modulus of (cosθ + i sinθ) / (cosθ - i sinθ) 11:34 - Smallest Positive Integer for Complex Equation 14:21 - Properties of Binomial Coefficients (C0, C1, C2...Cn) 15:46 - Finding the Modulus of Z + 2/Z 17:03 - Statement-based Questions on Complex Conjugates 18:26 - Real and Imaginary Parts of Z ± Z conjugate 19:28 - Modulus Calculation involving Powers of i (iota) 22:04 - Permutations: Selecting Players with Exclusions 22:46 - Binomial Expansion: Finding the Middle Term Coefficient 25:29 - Sum of Binomial Coefficients Series 27:32 - Sum of Coefficients: First and Last Terms 28:46 - Number of 5-digit Prime Numbers (Divisibility Rules) 30:12 - Summation of i^n for Consecutive Terms 33:36 - Identifying Geometric Shapes from Complex Equations (Circles) 35:03 - Permutations with Vowel Constraints (Word: LUCKNOW) 36:42 - Number of Terms in a Trinomial Expansion 37:34 - Polygons: Triangles with No Common Sides (Formula) 39:59 - Relationship between Binomial Coefficients (p, q, r, s) 41:09 - 5-digit Numbers with Repeating Digit Constraints 42:08 - Distinct Values of i^(-2n) for Integers 45:49 - Number of Terms in (a+b)^n (a-b)^n 46:16 - Highest Coefficient and Symmetry in Binomial Expansion 48:44 - Solving for 'n' using nCr Equality 49:34 - Evaluating Alternating Binomial Coefficient Sums 51:34 - Counting Odd Numbers with No Repeated Digits (300-400) 53:14 - Permutations of 'TIGER' with Vowel Position Constraints 55:23 - Quick Calculation of Principal Argument 56:30 - Modulus of Complex Numbers with Large Powers 58:02 - Selection Methods (Excluding Specific Players) 58:56 - Finding Specific Terms from the End of an Expansion 1:00:44 - Conclusion and Upcoming Algebra Topics