Let \[z,w\]be complex numbers such that \[\overline{z}+i\overline{w}=0\]and \[arg\,\,zw=\pi \]. Then arg z equals [AIEEE 2004]

Let \[z,w\]be complex numbers such that \[\overline{z}+i\overline{w}=0

1.	Let \[z,w\]be complex numbers such that \[\overline{z}+i\overline{w}=0\]and \[arg\,\,zw=\pi \]. Then arg z equals [AIEEE 2004]
A.	\[5\pi /4\]
B.	\[\pi /2\]
C.	\[3\pi /4\]
D.	\[\pi /4\]
Answer» D. \[\pi /4\]