Question

The distance from origin to the point(2,k)is 4 units then k is

Answer 1

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${\huge{\purple{\mathbb{\bold{ANSWER}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

▪︎ Distance of (2,k) from origin = 4 units.

${\large{\blue{\bold{\underline{Formula\:Used:-}}}}}$

▪︎ Distance Formula

$= \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$

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▪︎ Value of k.

${\large{\blue{\bold{\underline{Now,}}}}}$

▪︎ We know that coordinates of origin =(0,0)

● So according to the question,

$\sqrt{(2 - 0) {}^{2} + (k - 0) {}^{2} } = 4 \\ \\ \sqrt{(4) + (k) {}^{2} } =4 \\ \\ \sqrt{k {}^{2} + 4 } = \sqrt{16} \\ \\ k {}^{2} + 4 = 16 \\ \\ k {}^{2} = 12 \\ \\ k = \sqrt{12}$

Therefore the required value of k is root over 12.

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