4. COMPLEX NUMBERS IIT JEE Concept | Maxima Minima PART 4 | Triangle Inequality Questions AIEEE 2007 - Videos

PART 4 (IIT JEE Lecture Series – Complex Numbers | Maximum and Minimum Value)
In this video, I will discuss the method: how one can use triangle inequality to find the maximum or minimum value of a complex number. I will discuss four question in total out of which one came in AIEEE exam in the year 2007.
I will also discuss how triangle inequality can be extended to more than two complex numbers.
Triangle inequality Application to find maximum / minimum value:
|(|z_1 |-|z_2 |)| ≤ |z_1+z_2 | ≤ |z_1 |+|z_2 |
The above concepts are important for students studying for IIT JEE.

Questions Discussed:
Question 1 [AIEEE 2007]
If |z+4|≤3, then the maximum value of |z+1| is
(A) 6 (B) 0 (C) 4 (D) 10

Question 2 (Doubt sent by student on email)
If |z-3+2i|=4,, find the difference between greatest and least value of |z|.

Question 3 (Triangle Inequality extended to more than two complex numbers)
Find the minimum value of |z|+|z-1|+|2z-3|.

Question 4 (Triangle Inequality extended to more than two complex numbers)
If |z_1-1|≤1,|z_2-2|≤2,|z_3-3|≤3, find the greatest value of |z_1+z_2+z_3 |.

Share this Video – Spread Learning
Link to share: https://youtu.be/FW5FoC8OOA0

Like our facebook page
https://www.facebook.com/coachenggg

Follow us on INSTAGRAM
https://www.instagram.com/coachengg

Follow us on Google Plus
https://plus.google.com/+coachengg4u

————————————————————————————————————————————-
Maximum Value of a Complex number, Minimum Value of a complex number, Triangle inequality in complex numbers, Triangle Inequality for Complex Numbers, Complex Numbers Graphing Inequalities, Least Argument of a circle, Find the greatest and least value of |z|, Maxima Minima problem in complex numbers, Previous year IIT JEE Question in Complex Numbers, Prove Triangle inequality in complex numbers
————————————————————————————————————————————-
Class 11 MATHS ONLINE VIDEO LECTURES, CBSE Class 11 ONLINE PREPARATION, MATHS ONLINE COACHING, CBSE Class 11 ONLINE STUDY MATERIAL, CBSE Class 11 ONLINE TUTORING, BEST ONLINE MATERIAL FOR Class 11, CBSE BOARD EXAM PREPARATION, CBSE Board Maths Exam PREPARATION, CBSE Board Maths Sample Test Paper, IIT JEE 2017 Preparation with JEE Syllabus, NATA PREPARATION, JEE Main 2017, CBSE Board 2017 exam, CBSE Board Maths Sample Test Paper, JEE Main 2017 Sample paper, NDA Maths Sample Paper, NDA Question Paper Maths, NDA 2016 Results, NDA Maths Online Preparation, NATA exam, B. Arch exam, B. Arch maths notes, B. Architecture maths online preparation

source