Question
If |z_ 1 |= |z_ 2 |= . . |z_ n |=1, then the value of |z_ 1 +z_ 2 + . z_ n |- | 1 z_ 1 + 1 z_ 2 + .+ 1 z_ n | is,
BITSAT
Mathematics
Complex Number
2020
BITSAT 2020
BITSAT Mathematics Question (2020) — Solution
Options
- A. 0
- B. 1
- C. -1
- D. None
Answer
A. 0
Step-by-step solution
z_ 1 z _ 1 =z_ 2 z _ 2 = .=z_ n z _ n =1 z _ 1 = 1 z _ 1 , z _ 2 = 1 z _ 2 , z _ 3 = 1 z _ 3 , , z _ n = 1 z _ n |z_ 1 +z_ 2 + .+z_ n |- | 1 z_ 1 + 1 z_ 2 + .+ 1 z_ n | = |z_ 1 +z_ 2 + +z_ n |- | z _ 1 + z _ 2 + .+ z _ n |=0
Related: Mathematics — Complex Number · All PYQ Banks