If Z = 4/(1-i) then bar z is equal to (where, bar z is complex conjugate of z) (1) 2(1-i) (2) 1+i (3) 2/(1-i) (4) 4/(1+i)

Solution:

If Z = x+iy, then conjugate of Z is (x-iy)

Z = 4/(1-i)

= 4(1+i)/(1-i)(1+i)

= 4(1+i)/2

= 2(1+i)

\(\bar{z}\) = 2(1-i)

Hence option (1) is the answer.

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