If $P$ is the point in the Argand diagram corresponding to the complex number $\sqrt{3} + i$, and if $OPQ$ is an isosceles right-angled triangle with the right angle at $O$, then $Q$ represents the complex number?

Question

$-1 \pm \sqrt{3}$

$-1 + i\sqrt{3}$ or $1 - i\sqrt{3}$

$1 \pm \sqrt{3}$

$\sqrt{3} - i$ or $1 - i\sqrt{3}$

Solution

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