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If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.

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Question: If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.

Options:

  1. 3 + i
  2. 1 + i
  3. 3 - i
  4. 1 - i

Correct Answer: 3 + i

Solution: 

z1 + z2 = (2 + 2i) + (1 - i) = 3 + i.

If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.

Practice Questions

Q1
If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.
  1. 3 + i
  2. 1 + i
  3. 3 - i
  4. 1 - i

Questions & Step-by-Step Solutions

If z1 = 2 + 2i and z2 = 1 - i, find z1 + z2.
  • Step 1: Identify the two complex numbers. Here, z1 = 2 + 2i and z2 = 1 - i.
  • Step 2: Write down the expression for addition: z1 + z2 = (2 + 2i) + (1 - i).
  • Step 3: Combine the real parts: 2 (from z1) + 1 (from z2) = 3.
  • Step 4: Combine the imaginary parts: 2i (from z1) - i (from z2) = 2i - 1i = 1i.
  • Step 5: Write the final result by combining the results from Step 3 and Step 4: 3 + 1i.
  • Complex Number Addition – This question tests the ability to add two complex numbers by combining their real and imaginary parts.
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