Question

Let `z,w` be complex numbers such that `barz+ibarw=0` and `arg zw=pi` Then `argz` equals
A. `(pi)/(4)`
B. `(pi)/(2)`
C. `(3pi)/(4)`
D. `(5pi)/(4)`

Answer 1

Correct Answer - C
`barz+ibarw=0`
`rArrz-iw=0`
`rArrz=iw`
`"arg " zw=pi`
or `"arg "z+"arg"(z)/(i)=pi`
or `"arg "z+"arg "z-"arg "i=pi`
or `"arg "z+"arg "z-"arg "i=pi`
or `2" arg "z-(pi)/(2)=pi`
or `2" arg "z=(3pi)/(2)`
or `"arg " z = (3pi)/(4)`