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Complex Number
3:26 Introduction to Complex Number
9:18 Integral Powers of Iota
25:45 Algebra of Complex Numbers
46:54 Multiplicative Inverse of Z
48:41 Equality of Complex Numbers
1:03:19 Representation of Complex Numbers
1:04:11 Modulus of Complex Numbers
1:04:36 Properties of Modulus
1:18:00 Conjugate of Complex Numbers
1:18:25 Properties of Conjugate
1:51:00 Argument of Complex Numbers
1:55:42 Properties of Argument
2:09:14 Different Forms of Complex Number
2:12:10 Polar and Euler Form of Complex Numbers
2:12:35 Demoivre’s Theorem
2:27:19 Cube Roots of Unity
2:28:43 Properties of ω
2:57:30 Locus in Complex Plane (Shortcut)
3:20:37 Rotation Theorem of Complex Number
3:38:55 nth root of unity

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COMPLEX NUMBERS (JEE MAINS 2025/2026 SYLLABUS)
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus, and argument (or amplitude) of a complex number