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Paragraph: Let Z₁ and Z₂ be any two complex numbers such that Z₁^2+Z₂^2+Z₁ Z₂=0 Question: What is the value of | Z₁ Z₂ | ?

Options

  1. A-1
  2. B2
  3. C3
  4. D4

Correct answer

A. -1

Step-by-step solution

Given that, Z₁^2+Z₂^2+Z₁ Z₂=0 Z₁=w and Z₂=w^2 | Z₁ Z₂ |= | ^2 |= | 1 |=1

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