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

3/5, 4/5

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3/5, 1/5

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3/5, -1/5

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none of these

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Solution

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

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