Complex Numbers


Videos


Introduction to Iota

1517

Powers of Iota

915

Practice: Powers of Iota

217

Introduction to Complex Numbers

1262

Introduction to Argand Diagram

354

Operations of Complex Numbers

1325

Subtraction of Complex Numbers

97

Multiplication of Complex Numbers

458

Identities of Complex Numbers

133

Multiplicative Inverse and Division of Complex Numbers

227

Conjugate of a Complex Number

771

Properties of Conjugate of Complex Numbers

1097

Practice: Properties of Conjugate of Complex Numbers

351

Modulus of a Complex Number

596

Properties of Modulus of a Complex Number

1135

Geometrical Understanding of |z1± z2| and Triangle Inequalities

2252

Argument of a Complex Number

1710

Principal Argument of a Complex Number

1256

Polar & Euler Representation of Complex Numbers

1610

Practice: Euler Notation of a Complex Number

460

Properties of Argument of a Complex Numbers

2039

De Moivre's Theorem

770

De Moivre's Theorem for Rational Powers

544

Square Root of a Complex Number

1204

Cube Roots of Unity

898

Properties and Identities Involving Cube Roots of Unity

1761

Identities Involving Cube Roots of Unity

770

Visualizing Nth Roots of Unity

441

Properties of Nth Roots of Unity

2748

Complex Numbers as Vectors

547

Parallelogram and Triangle Law of Vector Addition

2171

Triangle Law

756

Practice: Complex Numbers as Vectors

984

Rotation of Complex Numbers

1349

Rotation of Complex Numbers - II

352

Perpendicular Bisector of a Line

381

Line in an Argand Plane

1420

Equation of a Ray

815

Locus of a Complex Number as a Ray and Line

360

More on Line in an Argand Plane

830

Condition for Perpendicular and Parallel Lines using Slope

82

Perpendicular Distance of a Point From a Line

364

Equation of Circle in an Argand Plane

2384

Arc of the Circle

1220

Conic Sections in an Argand Plane

764

Equation of a Hyperbola

468

Imaginary Numbers? What's That?

139

Discovery of Various Numbers

175

Physical Interpretation Of "I"

167

When Real and Imaginary Meet

48

The Famous Euler's Identity

53

The Purity in Real and Imaginary World

117

General Argument

117

Can We Add 2 Complex Numbers?

108

Triangle Inequality- the Other Famous One

175

Can We Subtract Them?

174

Even Multiplication Is Possible

244

Why Not Division?

286

Solved Questions

354

The Mirror Image about X-Axis

62

The Algebra Part of It

136

Few Tools

218

Operations on One Complex Number

404

Operations on 2 Complex Number

489

Solved Questions

272

Distance between 2 Complex Numbers

43

Few Important Properties

192

Triangle Inequality

152

Solved Questions

191

The Arguments on Multiplication and Division

61

Arguments of the Pure Ones

77

Angle Between 2 Complex Numbers

74

Solved Questions

251

The Theorem Itself

85

Nth Root of Unity

196

Solving "Complex" Equations

93

Solved Examples

175

Logging down the Complex Number

196

The Square Root Situation

480

JEE Main Analysis

155

JEE Advanced Analysis

151

Unimodular: Main-1

221

Closest: Main-1

115

Minimum: Main-1

113

Argument: Main-1

64

Imaginary: Main-1

109

On a Circle: Adv-1

301

Complex Equation: Adv-1

139

Area on Complex Plane: Adv-1

128

The Imaginary Part: Adv-1

144

Where Does It Lie?: Adv-1

122

Modulus and Conjugate: Adv-1

166

Time for Argument: Adv-1

105

It's Complex: Adv-1

296

Travelling on the Argand Plane: Adv-1

256

Mapping 'S': Adv-1

232

Summation over 'm': Adv-1

197

Right Angle and iota: Adv-1

119

Exploring Omega: Adv-1

171

What is the Sum?: Adv-1

207

Roots: Adv-1

258

Practice Set 4

449

Locus Part 1

77

Locus Part 2

256

Locus Part 3

99

Locus Part 4

106

Locus Part 5

261

Locus Part 6

238

Nth Root of Unity Part 1

195

Nth Root of Unity Part 2

136

Nth Root of Unity Part 3

109

Nth Root of Unity Part 4

277

Nth Root of Unity Part 5

152

Nth Root of Unity Part 6

288

Nth Root of Unity Part 7

188

Concept of Rotation Part 1

266

Concept of Rotation Part 2

195

Concept of Rotation Part 3

703

Concept of Rotation Part 4

282

Concept of Rotation

702

Properties of Argument - 1

2039

World of Imaginations

336

Introduction to Iota

810

Introduction to Iota

371

Powers of Iota

622

Powers of Iota

76

Introduction to Complex Numbers

517

Introduction to Complex Numbers

599

Introduction to Complex Numbers

145

Introduction to Argand Diagram

354

Operations of Complex Numbers

250

Operations of Complex Numbers

87

Operations of Complex Numbers

135

Operations of Complex Numbers

265

Operations of Complex Numbers

347

Operations of Complex Numbers

51

Operations of Complex Numbers

63

Operations of Complex Numbers

50

Subtraction of Complex Numbers

96

Operations of Complex Numbers

205

Multiplication of Complex Numbers

342

Multiplication of Complex Numbers

114

Identities of Complex Numbers

132

Multiplicative Inverse and Division of Complex Numbers

226

Conjugate of a Complex Number

466

Conjugate of a Complex Number

87

Conjugate of a Complex Number

216

Properties of Conjugate of Complex Numbers

520

Properties of Conjugate of Complex Numbers

576

Practice: Properties of Conjugate of Complex Numbers

351

Modulus of a Complex Number

462

Modulus of a Complex Number

565

Modulus of a Complex Number

171

Modulus of a Complex Number

135

Modulus of a Complex Number

204

Properties of Modulus of a Complex Number

754

Properties of Modulus of a Complex Number

164

Properties of Modulus of a Complex Number

216

"Geometrical Understanding of |z1± z2| and Triangle Inequalities"

590

"Geometrical Understanding of |z1± z2| and Triangle Inequalities"

185

"Geometrical Understanding of |z1± z2| and Triangle Inequalities"

778

"Geometrical Understanding of |z1± z2| and Triangle Inequalities"

699

Argument of a Complex Number

546

Argument of a Complex Number

104

Argument of a Complex Number

700

Argument of a Complex Number

360

Principal Argument of a Complex Number

799

Principal Argument of a Complex Number

457

Polar & Euler Representation of Complex Numbers

330

Polar & Euler Representation of Complex Numbers

461

Polar & Euler Representation of Complex Numbers

230

Polar & Euler Representation of Complex Numbers

948

Practice: Euler Notation of a Complex Number

459

Properties of Argument of a Complex Numbers

787

Properties of Argument of a Complex Numbers

466

Properties of Argument of a Complex Numbers

281

Properties of Argument of a Complex Numbers

257

Properties of Argument of a Complex Numbers

121

Properties of Argument of a Complex Numbers

82

Properties of Argument of a Complex Numbers

44

De Moivre's Theorem for Integral Index

226

De Moivre's Theorem for Rational Powers

543

Square Root of a Complex Number

774

Square Root of a Complex Number

429

Cube Roots of Unity

392

Cube Roots of Unity

505

Properties of Cube Roots of Unity

196

Properties of Cube Roots of Unity

283

Properties of Cube Roots of Unity

361

Properties of Cube Roots of Unity

391

Identities Involving Cube Roots of Unity

408

Nth Roots of Unity

646

Visualizing Nth Roots of Unity

440

Properties of Nth Roots of Unity

245

Properties of Nth Roots of Unity

285

Properties of Nth Roots of Unity

233

Properties of Nth Roots of Unity

390

Properties of Nth Roots of Unity

264

Properties of Nth Roots of Unity

402

Properties of Nth Roots of Unity

528

Properties of Nth Roots of Unity

399

Parallelogram Law

431

Complex Numbers as Vectors

547

Triangle Law

754

Triangle Law

107

Triangle Law

876

Rotation of Complex Numbers

329

Rotation of Complex Numbers

207

Rotation of Complex Numbers

192

Rotation of Complex Numbers

475

Rotation of Complex Numbers

143

Rotation of Complex Numbers - II

351

Perpendicular Bisector of a Line

197

Perpendicular Bisector of a Line

184

Line Segment

245

Locus of a Complex Number as a Ray and Line

360

Locus of a Complex Number as a Ray and Line

231

Equation of a Ray

170

Equation of a Ray

299

Equation of a Ray

112

Equation of Line

384

Perpendicular Distance of a Point From a Line

365

Condition for Perpendicular and Parallel Lines using Slope

81

General Equation of Circle

159

General Equation of Circle

111

General Equation of Circle

431

General Equation of Circle

148

General Equation of Circle

315

Arc of the Circle

376

Arc of the Circle

353

Arc of the Circle

491

Equation of a Ellipse

296

Equation of a Ellipse

227

Equation of a Hyperbola

239

Introduction to Iota

108

Powers of Iota

216

Conjugate of a Complex Number

466