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PYQ JEE Main 2019 Complex Numbers Part-1
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This lesson takes up questions of jee main 2019 in complex number part

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 2.6 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

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1) COM is individually responsible for president 2)fundamental-USA 3)DPSP-irelnad 4)CAG-148 5)AG-76 6)neither mahatama gandhi nor jinna is part of CA but person of CA came to gandhi ji to discussing over CA 7) antidefection law-52nd amedment 1985 8)right answer 6 out of 10
Prabhakar Jha
3 months ago
Good
Sir, at 5 mins, the sum of elements of A question, There -Pie/3 does not satisfy the given condition, does it? I think answer should be pie?
Vineet Loomba
2 months ago
u r doing wrong calculation... - pie/3 clearly satisfies sin^2 Q
Students In the last Question there will 2cos 5pie/6 so it will -root 3. pls make that correction.
sir third question samajh me nahi aaya please explain again sir
Sir 3rd question Euler form ko polar form m convert kese kiya. Bilkul smjh nhi aarha. sin kaha gya usme se. Direct 2cos5pi/4 kese aaya
Vineet Loomba
4 months ago
sine wala part cancel ho jaega na ... jab add kroge...copy pen ke saath ek baar try krke dekho
  1. JEE MAIN RANK BOOSTER COURSE COMPLEX NUMBERS FOR JEE MAIN AND ADVANCED PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-JEE MENTOR


  2. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. Youtube, Founder @ vineetloomba.com unacademy Many of my students are pursuing courses in IITs, NITs, BITs etc. Currently running my own Coaching Institute for JEE Main and Advanced Searh vineet loomba unacademy on GOOGLE


  3. JEE MAIN RANK BOOSTER COURSE PREVIOUS YEAR QUESTIONS COMPLEX NUMBERS JEE MAIN 2019 PREPARED BY: ER. VINEET LOOMBA IITIAN IIT-JEE MENTOR


  4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Let zo be a root of the quadratic equation x2 + x + 1 - 0. If z 36iz81 - 3i z3, then arg z is equal to (4) 6 (JEE Main 2019) 4 Sol. zo is a root of quadratic equation x2 +x 10 z 3 6i z81 - 3i z%3 3+3 arg(z)-tan-1/3) 3 T 3) 4 - SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)


  5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Let A.{0e( , ) 1-2/m } 3 + 2i sin is purely imaginary Then the sum of the elements in A is (2) 6 3 4 2 (4) 3 (JEE Main 2019) (3 + 2, sin )(1+2i sine) + (3-2, sine)(1-2i sin ) 1+4sin2 Sol. Let z= 1-2i sin As z is purely imaginery, z +--0 sin2 - 4 =0 1-2, sin 1+2isin0 3' 3' 3 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)


  6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Let and be two roots of the equation x2 + 2x + 2 = 0, then 15 + 15 is equal to (1) -512 (3) 256 (2) 512 (4) -256 (JEE Main 2019) -2+4-8 2 Sol. x- Let =-1+i, =-1 -i i5 15 3 15 ) 3 ) 15 . 2cos 14 2(J2)"--256 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)


  7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Let z-|-+-| + If R(z) and /(z) respectively denote the real and imaginary parts of z, then (2) R(Z) 0 and /(Z) >0 (3) R(z) < 0 and /(Z) >0 (4) R(z)3 (JEE Main 2019) 6 (z)0, Re(z) V3 Option (1) is correct SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)


  8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example Let z, and z2 be any two non-zero complex numbers such that 312l1 - 41z2j. f z- 35272 such that 31z1 = 4| lf z = 34 + 24 then then 2z2 3z1 (2) 1 (4) Re(z)0 (1) Im(z)=0 2 JEE Main 2019 (BONUS QUES) (3) z1 322 4 222 321 2/2 3 ri =->_ (cos(0-0) + i sin(0-0)) + slls 5 2 x-[cos(0-0) + i sin(9-0)] 2 SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)


  9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Save Save for this Course (Free) Recommend Lessons (Like) E M AND ADvANCED Rate and Review the Course Comments Sharing with friends MOST IMPORTANT QUESTIONS IN MATHEMATICS PREPARED ER. VINEET LOOMS MADE EASY 1ITIAN I IT-IEE MENTOR 00:00 05:46 SURE SHOT SUCCESS IN JEE MAIN AND ADVANCED CIIT-IEE) 91 likes 18 comments AO Share HINDI Crash Course Maths (Hindi) Most Important Questions in IIT-JEE Mathematics (Chapter- Wise) Vineet Loomba 11k Followers Follow 5.0 (51 ratings) Edit review SUCCESS IN JEE MAIN AND ADVANCED ER. VINEET LOOMBA (IIT ROORKEE)