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The conjugate of the complex number  is:

Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Concept: 

Let z = x + iy be a complex number.

  • Modulus of z = 
  • arg (z) = arg (x + iy) = 
  • Conjugate of z = z̅ = x – iy


Calculation:

Given complex number is z = 

z = 

z = 

z = 

z = 

Conjugate of z = (z̅) = 

NOTE:

The complex conjugate has the same real part as z and the same imaginary part but with the opposite sign.

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