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If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)

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Question: If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)

Options:

  1. 5 + i
  2. 5 + 3i
  3. 1 + i
  4. 1 - i

Correct Answer: 5 + i

Exam Year: 2023

Solution: 

z1 + z2 = (2 + 2i) + (3 - i) = 5 + i.

If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)

Practice Questions

Q1
If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
  1. 5 + i
  2. 5 + 3i
  3. 1 + i
  4. 1 - i

Questions & Step-by-Step Solutions

If z1 = 2 + 2i and z2 = 3 - i, find z1 + z2. (2023)
  • Step 1: Identify the two complex numbers. Here, z1 = 2 + 2i and z2 = 3 - i.
  • Step 2: Write down the expression for addition: z1 + z2 = (2 + 2i) + (3 - i).
  • Step 3: Combine the real parts: 2 (from z1) + 3 (from z2) = 5.
  • Step 4: Combine the imaginary parts: 2i (from z1) - i (from z2) = 2i - 1i = 1i.
  • Step 5: Write the final result by combining the real part and the imaginary part: 5 + i.
  • Complex Number Addition – This concept involves adding two complex numbers by separately adding their real and imaginary parts.
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