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

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Question: If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.

Options:

  1. 6 + 2i
  2. 6 + 4i
  3. 2 + 6i
  4. 8 + 2i

Correct Answer: 6 + 2i

Solution: 

z1 + z2 = (2 + 3i) + (4 - i) = 6 + 2i.

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

Practice Questions

Q1
If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
  1. 6 + 2i
  2. 6 + 4i
  3. 2 + 6i
  4. 8 + 2i

Questions & Step-by-Step Solutions

If z1 = 2 + 3i and z2 = 4 - i, find z1 + z2.
Correct Answer: 6 + 2i
  • Step 1: Identify the two complex numbers. Here, z1 = 2 + 3i and z2 = 4 - i.
  • Step 2: Write down the expression for addition: z1 + z2 = (2 + 3i) + (4 - i).
  • Step 3: Combine the real parts: 2 (from z1) + 4 (from z2) = 6.
  • Step 4: Combine the imaginary parts: 3i (from z1) + (-i) (from z2) = 3i - 1i = 2i.
  • Step 5: Write the final result by combining the real and imaginary parts: 6 + 2i.
  • Complex Numbers Addition – This concept involves adding two complex numbers by separately adding their real and imaginary parts.
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