If z = (4/1-i), then barz is (where barz is complex conjugate of z )

Question

If z = (4/1-i), then barz is (where barz is complex conjugate of z ) (A) 2 (1 + i) (B) (1 + i) (C) (2/1-i) (D) (4/1+i)

Tardigrade Admin · Accepted Answer

z=(4/1-i) ⇒ z=(4/1-i) × (1+i/1+i) =(4(1+i)/12-i2)=2(1+i) ∴ barz=(2(1-i) ×(1+i)/1+i) =(4/1+i)

Q. If $z = \frac{4}{1 - i}$ , then $\overset{z}{ˉ}$ is (where $\overset{z}{ˉ}$ is complex conjugate of $z$ )