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If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?

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Question: If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?

Options:

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

Correct Answer: 6 - 2i

Solution: 

z1 + z2 = (2 + 3i) + (4 - 5i) = 6 - 2i.

If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?

Practice Questions

Q1
If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
  1. 6 - 2i
  2. 6 + 2i
  3. 2 - 2i
  4. 2 + 2i

Questions & Step-by-Step Solutions

If z1 = 2 + 3i and z2 = 4 - 5i, then z1 + z2 is?
  • Step 1: Identify the two complex numbers. Here, z1 = 2 + 3i and z2 = 4 - 5i.
  • Step 2: Write down the expression for addition: z1 + z2 = (2 + 3i) + (4 - 5i).
  • Step 3: Combine the real parts: 2 (from z1) + 4 (from z2) = 6.
  • Step 4: Combine the imaginary parts: 3i (from z1) + (-5i) (from z2) = 3i - 5i = -2i.
  • Step 5: Put the combined real and imaginary parts together: 6 - 2i.
  • Step 6: Write the final answer: z1 + z2 = 6 - 2i.
  • Complex Number Addition – This question tests the ability to add two complex numbers by combining their real and imaginary parts.
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