Question

Find the distance of point P(x,y) from the origin.

Answer 1

Hint: In order to solve this problem use the distance formula and put the coordinates of the origin and the point given. Doing this will solve your problem.

Complete step-by-step answer:

As we know the coordinates of origin are (0,0).

The point given is P(x,y).
We know that the distance between the two points let it be ${\text{(}}{{\text{x}}_{\text{1}}}{\text{,}}{{\text{y}}_{\text{1}}}{\text{)}}\,{\text{& }}\,{\text{(}}{{\text{x}}_{\text{2}}}{\text{,}}{{\text{y}}_{\text{2}}}{\text{)}}$ is written as $\sqrt {{{({x_1} - {x_2})}^2} + {{({y_1} - {y_2})}^2}} $
In this case,
$
  {x_1} = 0 \\
  {y_1} = 0 \\
  {x_2} = x \\
  {y_2} = y \\
$

On putting these values in the above formula we get,
$\sqrt {{{(0 - x)}^2} + {{(0 - y)}^2}} $=$\sqrt {{x^2} + {y^2}} $.

Hence the distance between the origin and the point P is $\sqrt {{x^2} + {y^2}} $.

Note: We were careful to put the x-coordinates together and the y-coordinates together and not mix them up.