Find the distance between the pair of points (a, b), (-a, -b) - Vidyadip

Question

Find the distance between the pair of points (a, b), (-a, -b)

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Answer

(a, b), (-a, -b)
Required distance
$= \sqrt {{{( - a - a)}^2} + {{( - b - b)}^2}}$
$= \sqrt {{{( - 2a)}^2} + {{( - 2b)}^2}}$
$= \sqrt {4{a^2} + 4{b^2}}$
$= \sqrt {4({a^2} + {b^2})}$
$= 2\sqrt {{a^2} + {b^2}}$

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