Question

find the distance of each of the following points from the origin C(4,-6)

Answer 1

Answer:

C(-4,-6)

Let O(0,0) be the origin.

$\bold{OC = \sqrt{( - 4 - 0) {}^{2} + ( - 6 - 0) {}^{2} } }$

$\bold {\implies{ \sqrt{( { - 4})^{2} +( { - 6})^{2} } }}$

$\bold{ \implies \sqrt{16 + 36}}$

$\bold{ \implies \: \sqrt{52} }$

$\bold{ \implies{ \sqrt{4 \times 13} }}$

$\bold{ \implies{2 \sqrt{13} }}$