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Find the conjugate of the complex number z = 2 - 5i.

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Question: Find the conjugate of the complex number z = 2 - 5i.

Options:

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

Correct Answer: 2 + 5i

Solution: 

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

Find the conjugate of the complex number z = 2 - 5i.

Practice Questions

Q1
Find the conjugate of the complex number z = 2 - 5i.
  1. 2 + 5i
  2. 2 - 5i
  3. -2 + 5i
  4. -2 - 5i

Questions & Step-by-Step Solutions

Find the conjugate of the complex number z = 2 - 5i.
  • Step 1: Identify the complex number z. In this case, z = 2 - 5i.
  • 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 -5i. To find the conjugate, change -5i to +5i.
  • Step 4: Write the conjugate using the real part (which remains the same) and the new imaginary part. So, the conjugate is z* = 2 + 5i.
  • Complex Conjugate – The complex conjugate of a complex number is obtained by changing the sign of the imaginary part.
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