Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Analytic Functions

Which one of the following is correct? If z and w are complex numbers and w̅ denotes the conjugate of w, then |z + w| = |z - w| holds only. 

1
z = 0 or w̅ = 0
2
z = 0 or w = 0 
3
z . w̅ is purely real
4
z . w̅ purely imaginary
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