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If z = 3 + 4i, what is the imaginary part of z? (2022) 2022

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Question: If z = 3 + 4i, what is the imaginary part of z? (2022) 2022

Options:

  1. 3
  2. 4
  3. 7
  4. 1

Correct Answer: 4

Exam Year: 2022

Solution:

The imaginary part of the complex number z = 3 + 4i is 4.

If z = 3 + 4i, what is the imaginary part of z? (2022) 2022

Practice Questions

Q1
If z = 3 + 4i, what is the imaginary part of z? (2022) 2022
  1. 3
  2. 4
  3. 7
  4. 1

Questions & Step-by-Step Solutions

If z = 3 + 4i, what is the imaginary part of z? (2022) 2022
  • Step 1: Identify the complex number given in the question, which is z = 3 + 4i.
  • Step 2: Understand that a complex number is made up of a real part and an imaginary part.
  • Step 3: In the complex number z = 3 + 4i, the real part is 3 and the imaginary part is the coefficient of 'i', which is 4.
  • Step 4: Therefore, the imaginary part of z is 4.
  • Complex Numbers – Understanding the components of complex numbers, where a complex number is expressed in the form a + bi, with 'a' as the real part and 'b' as the imaginary part.
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