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i want solution of question number 21. Please also give me a easy trick for solving this question in jee if exists.
i want solution of question number 21. Please also give me a easy trick for solving this question in jee if exists.

```
8 months ago

## Answers : (1)

Vikas TU
14146 Points
```							Dear student Given : | z₁ | = | z₂ | = | z₃ | = 1 ............. (1) . . . . . . | 1/z₁ + 1/z₂ + 1/z₃ | = 1 ............ (2) __________________________ To Find : | z₁ + z₂ + z₃ |. __________________________ We note that (i) | z | = | z' |, ... z' is conjugate of z (ii) z·z' = | z |² = | z' |² (iii) Σ(z') = [ Σ(z) ]'. __________________________ If | z | = 1, then : z·z' = 1, i.e., (1/z) = z'...... (3) ∴ | z₁ + z₂ + z₃ | = | ( z₁ + z₂ + z₃ )' | = | (z₁)' + (z₂)' + (z₃)' | = | 1/z₁ + 1/z₂ + 1/z₃ | ........ from (3) = 1 ...................................... from (2) __________________ ∴ | z₁ + z₂ + z₃ | = 1
```
8 months ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions