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Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)

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Question: Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)

Options:

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

Correct Answer: 5 + 2i

Exam Year: 2021

Solution: 

The conjugate of z = 5 - 2i is z* = 5 + 2i.

Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)

Practice Questions

Q1
Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)
  1. 5 + 2i
  2. 5 - 2i
  3. -5 + 2i
  4. -5 - 2i

Questions & Step-by-Step Solutions

Which of the following is the conjugate of the complex number z = 5 - 2i? (2021)
  • Step 1: Identify the complex number z. In this case, z = 5 - 2i.
  • Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part.
  • Step 3: The imaginary part of z is -2i. To find the conjugate, change -2i to +2i.
  • Step 4: Write the conjugate using the real part (which stays the same) and the new imaginary part. So, the conjugate is z* = 5 + 2i.
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