If ` (a-ib)/(a+ib)= (1+i)/(1-i)`, then show that ` a+b=0`

If sqrt((1+i)/(1-i))=(a+ib) then show that (a^(2)+b^(2))=1 .

If (4+2i)(1+2i)=A+iB, then

If a+ib=sqrt(3+4i), then a and b=?

Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

If a,b are real and a^(2)+b^(2)=1, then show that the equation (sqrt(1+x)-i sqrt(1-x))/(sqrt(1+x)+i sqrt(1-x))=a-ib is satisfied y a real value of x.

If a+ib=(c+i)/(c-i), where c is real,prove that: a^(2)+b^(2)=1 and (b)/(a)=(2c)/(c^(2)-1)

If A+iB =(4+2i)/(1-2i)where i=sqrt(-1) then what is the vlue of A ?

Express (2+i)/(2-i) in the form a+ib

If ((1-i)/(1+i))^(100)=a+ib,f in d(a,b)