Question

Find k if the distance between (k, 0) and (0, 2k) is 10 units.

Answer 1

Distance between (k, 0) and (0,2k) is 10units.

$\sqrt{ ({0 - k)}^{2} + {(2k - 0)}^{2} } = 10 \\ \\ {k}^{2} + 4 {k}^{2} = 100 \\ 5 {k}^{2} = 100 \\ \\ {k}^{2} = 20 \\ \\ k = \sqrt{20}$

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