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If z = 4 - 3i, find the conjugate of z. (2023)

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Question: If z = 4 - 3i, find the conjugate of z. (2023)

Options:

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

Correct Answer: 4 + 3i

Exam Year: 2023

Solution: 

The conjugate of z = 4 - 3i is z* = 4 + 3i.

If z = 4 - 3i, find the conjugate of z. (2023)

Practice Questions

Q1
If z = 4 - 3i, find the conjugate of z. (2023)
  1. 4 + 3i
  2. 4 - 3i
  3. -4 + 3i
  4. -4 - 3i

Questions & Step-by-Step Solutions

If z = 4 - 3i, find the conjugate of z. (2023)
  • Step 1: Identify the complex number z. In this case, z = 4 - 3i.
  • Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part.
  • Step 3: Change the sign of the imaginary part of z. The imaginary part is -3i, so we change it to +3i.
  • Step 4: Write the conjugate of z. The conjugate is z* = 4 + 3i.
  • Complex Conjugate – The conjugate of a complex number is obtained by changing the sign of the imaginary part.
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