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What is the conjugate of the complex number z = 7 - 4i? (2021)

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Question: What is the conjugate of the complex number z = 7 - 4i? (2021)

Options:

  1. 7 + 4i
  2. 7 - 4i
  3. -7 + 4i
  4. -7 - 4i

Correct Answer: 7 + 4i

Exam Year: 2021

Solution: 

The conjugate of z is given by z* = 7 + 4i.

What is the conjugate of the complex number z = 7 - 4i? (2021)

Practice Questions

Q1
What is the conjugate of the complex number z = 7 - 4i? (2021)
  1. 7 + 4i
  2. 7 - 4i
  3. -7 + 4i
  4. -7 - 4i

Questions & Step-by-Step Solutions

What is the conjugate of the complex number z = 7 - 4i? (2021)
  • Step 1: Identify the complex number z. In this case, z = 7 - 4i.
  • 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 -4i. To find the conjugate, change -4i to +4i.
  • Step 4: Write the conjugate using the real part and the new imaginary part. The conjugate is z* = 7 + 4i.
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