The slope of the line $| z - 1 | = | z + i |$ is

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2/1

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-1

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Solution

The correct option is B -1
Given,
$| z - 1 | = | z + i |$
Now squaring both sides we get,
$(x - 1)^{2} + y^{2} = x^{2} + (y + 1)^{2}$
or, $- 2 x + 1 = 2 y + 1$
or, $y = - x$ .
It is clear that the slope of the line is $- 1$ .

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