A) \[|a+ib|\,=\,|c+id|\]
B) \[a+c=b+d\]
C) \[arg(a+ib)=arg(c+id)\]
D) None of these
Correct Answer: B
Solution :
It is given that \[OP=OQ\] \[\therefore \,\,|\overrightarrow{OP}|\,=\,|\overrightarrow{OQ}|\]Þ \[|a+ib|\,=\,|c+id|\] Also \[\overrightarrow{OP}=-\overrightarrow{OQ},\,\,\,\,\therefore \overrightarrow{OP}+\overrightarrow{OQ}=0\] Þ \[(a+c)+i(b+d)=0\]Þ \[a+c=0=b+d\]You need to login to perform this action.
You will be redirected in
3 sec