question_answer

Find the distance of a point \[P(x,y)\] from the origin.

Answer:

The given point is \[P(x,y)\].

The origin is O (0, 0)

Distance of point P from origin,

\[PO=\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}}\]

\[=\sqrt{{{\left( x-0 \right)}^{2}}+{{\left( y-0 \right)}^{2}}}\]

\[=\sqrt{{{x}^{2}}+{{y}^{2}}}\] unit