Find the distance between point $A (- a, b)$ and $B (a, - b)$

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Solution

Given $A (- a, b)$ and $B (a, - b)$
$A B = \sqrt{(- a - a)^{2} + (b + b)^{2}} = \sqrt{4 a^{2} + 4 b^{2}} = 2 \sqrt{a^{2} + b^{2}}$
Distance between $A$ and $B$ is $2 \sqrt{a^{2} + b^{2}}$ units

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