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Prepare for your CET and JEE Mains exams with this comprehensive guide on Complex Numbers! In this video, Babu Sir, with over 25 years of teaching experience and an ex-FIIT JEE faculty member, breaks down Complex Numbers in a way that's easy to understand for competitive exam preparation. What You'll Learn: Key techniques to solve Complex Number problems for CET and JEE Mains Strategies to improve your problem-solving speed Tips to tackle complex problems with confidence in competitive exams Mastering Complex Numbers is crucial for excelling in competitive exams and boosting your chances of success. 🔔 Subscribe for more tips and tutorials to excel in CET & JEE Mains! 📲 Visit us: deevigeclasses.com 📞 Call us: +91 82775 00123 TIMESTAMPS: 00:00 - Intro 00:07 - If z̅ ₁ = 3 + 𝑖 and z̅₂ = −5 − 𝑖 then the value of |𝑧₁ + 𝑧₂| is 01:11 - (1+𝑖/1−𝑖)ⁿ is real 01:55 - . If 4𝑥 + 𝑖(3𝑥 − 𝑦) = 3 + 𝑖(−6), where 𝑥 and 𝑦 are real numbers, then find the values of 𝑥 and 𝑦 respectively. 02:54 - Let 𝑥, 𝑦 ∈ 𝑅, then 𝑥 + 𝑖𝑦 is a non real complex number if 03:22 - If 3 + 𝑦𝑖 − 2𝑖 = 𝑥 − 𝑖, then find y 03:51 - . Find 𝑎 and 𝑏 such that 2𝑎 + 𝑖4𝑏 and 2𝑖 represent the same complex number. 04:24 - The least value of 𝑛 ∈ 𝑁 for which [1−𝑖/1+𝑖] 𝑛 is real. 05:05 - The value of (1 + 𝑖)³ + (1 − 𝑖)³ = 06:03 - The expression (1+𝑖)ⁿ/(1−𝑖)ⁿ−² equals 07:01 - If 𝑧₁ = 2 + 3𝑖 and 𝑧₂ = 1 + 2𝑖, then 𝑧₁/𝑧₂ is equal to 07:32 - The real part of (1+𝑖)²/(3−𝑖) is 08:27 - Find the multiplicative inverse of 4+5𝑖/3−4𝑖 11:11 - The value of (𝑧 + 3)(z̅ + 3) is equivalent to 13:45 - If z = 2+3i, then z⁵ + z⁵ is equal to 17:41 - The modulus of (1 + √3) ( z+ zi)/ (√3 - i) is 18:51 - If 𝑧 = 7+𝑖/3-4i, then (z¹⁴) = 19:54 - If (z-4) lesser than (z-2), its solution is given by 22:55 - If z is a complex number such that z² = (z̅ )², then 24:23 - If x+ iy = √ a+ib/a+id, then (x² + y²)² = 25:49 - The conjugate of the complex number 2+5i/4-3i is equal to 27:31 - If |z| = 1, (z is not equal to -1) and z = x + iy, then (z-1 / z+1) is 28:23 - If z bar be the conjugate of the complex number z, then which of the followig relations is false? 30:20 - If (x+iy)² = ( a+ib/a-ib)² then x² + y² = 30:44 - The amplitude of sin n/s + i ( 1-cos n/s) is 31:41 - arg z̅ +argz : z is not equal to 0 is equal to: 33:39 - The polar form of the complex number (i²⁵)³ is 35:06 - If z = √ 3 + i √ 3 and z² = √3 + i, then in which quadrant (z₁/z₂) lies? 36:22 - The modulus and amplitude of 1+2i/1-(1-i)² are 37:26 - If z = 3-i/2+i + 3+i/2+i/ then value of arg (zi) is #JEE #CET #ComplexNumbers #CompetitiveExams #MathPreparation #JEEPrep #CETPrep #EngineeringEntrance #MathTips #MathHelp #Deevige #CoachingCentre #ExamPrep #StudyTips #mathematics #1stpuc #11thcbse #mathematics #boardexams #deevigeclasses #examsuccess #trending #foryou #neet #cetprep #cet #maths #midterm #midtermexams #kannada #bangalore #midterm #midtermexam2024 #mcq #mcqimportantquestions