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Equality of 2 Complex Numbers

If x<0 is a r...

Question

If $x < 0$ is a real number, then $a r g (x) =$

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Solution

Let $z = x, x < 0$

Clearly, $z$ is purely real number and it lies on negative $x$

As $a r g (x) = π$

$∴ a r g (z) = π$

Hence, if $x < 0$ is a real number, then

$a r g (x) = π$

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Equality of 2 Complex Numbers

Standard XI Mathematics

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