Question

if z is a complex number then show that z - z bar/2i is real​

Answer 1

Answer:

If z is a complex number and z=bar(z), then prove that z is a purely real number. show that if |(z-3i)/(z+3i)|=1 then z is a real number.

Answer 2

Step-by-step explanation:

let z be a complex num

to prove :( z-(bar)z)/2i is real

proof:

z=a+ib

then ,

z-((bar)z)/2i=( (a+ib)-(a-ib))/2i

= (a+ib-a-ib)/2i

=0/2i

=0

hence ,proved

NOT SURE ABOUT IT.