f  z1, z2𝑧1, 𝑧2 are complex numbers such that Re(z1)=|z1−2|Re𝑧1=𝑧1-2 , Re(z2)=|z2−2|Re𝑧2=𝑧2-2 and arg(z1−z2)=π3,arg𝑧1-𝑧2=𝜋3, then Im(z1+z2)=

Question

f  z1, z2𝑧1, 𝑧2 are complex numbers such that Re(z1)=|z1−2|Re𝑧1=𝑧1-2 , Re(z2)=|z2−2|Re𝑧2=𝑧2-2 and arg(z1−z2)=π3,arg𝑧1-𝑧2=𝜋3, then Im(z1+z2)=
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Solution 1

The given conditions are:

  1. Re(z1) = |z1 - 2|
  2. Re(z2) = |z2 - 2|
  3. arg(z1 - z2) = π/3

From the first two conditions, we can infer that the real parts of z1 and z2 are non-negative (since the absolute value of a complex number is always non-negative). This means that z1 and z2 lie in the first Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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