Question

if a and b are the 2 complex number , magnitude of |b|=1 then find the value of |b-a/1-āb|​

Answer 1

Step-by-step explanation:

Answer is |a| which is equal to 1

It is given that |a| = 1

So , |a|2=1

aā=1 as aā=|a|2

This gives us ā=1/a or a=1/ā

Now using the above findings lets try to simplify

|(b−a)/(1−āb)|

|(b−a)/(aā−āb)|

Taking ā out from the denominator

|(b−a)/ā(a−b)|

|−1/ā|

|1/ā|

|a|

Hence the above expression results in |a| which is equal to 1.