Question

If the conjugate of (x + iy) (1- 2i) be 1 + i then x and y are

• A. 3/5, 4/5
• B. 3/5, 1/5
• C. 3/5, -1/5
• D. none of these

Answer 1

The correct option is B 3/5, 1/5

Conjugate of $(x+iy)(1-2i)$ is $1+i$
$\Rightarrow (x+iy)(1-2i)=1-i$
$\Rightarrow x+2y=1$ and $-2x+y=-1$
$\Rightarrow x=\frac{3}{5}$ and $y=\frac{1}{5}$
Hence, option B.