First slide

Algebra of complex numbers

Question

The conjugate of a complex number $z$ is $\frac{2}{1 - i}$ then Re $(z)$ equals

Moderate

A

-1
B

0
C

1
D

2

Solution

$\bar{z} = \frac{2}{1 - i} = \frac{1 - i^{2}}{1 - i} = 1 + i$
Now Re $(z) =$ Re $(\bar{z}) = 1 .$

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