5. COMPLEX NUMBERS IIT JEE Concepts | Maxima Minima PART 5 | AIEEE 2005 & IIT JEE 1987 Questions - Videos

PART 5 (IIT JEE Lecture Series – Complex Numbers | Maximum and Minimum Value)
In this video, I will discuss the very important results related to modulus equality |z_1+z_2 |=|z_1 |+|z_2 | in complex numbers. Based on these results, direct question came in IIT JEE Exam in 1987 which repeated in AIEEE in the year 2005. Based on the concepts, the questions can be framed in JEE Main as well as JEE Advanced.
I will discuss the algebraic method as well as the geometrical method to solve the equality.
The above concepts are important for students studying for IIT JEE.

Question Discussed:
AIEEE 2005 / IIT JEE 1987
Let z_1 and z_2 be two non-zero complex numbers such that: |z_1+z_2 |=|z_1 |+|z_2 | then arg⁡(z_1 )-arg⁡(z_2 )=
(A) π/2 (B) -π (C) 0 (D) -π/2

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