Question

Find the distance of a point P(X,Y) from the origin.

Answer 1

Hint-Make use of the distance formula and try to find out the distance between the two points by making use of this formula.

Complete step by step answer:
Let us consider the two points as
P(X,Y)(Given point) and
Origin O(0,0)
Let us now construct a rough figure

We know that distance between the two points is given by the formula
$d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} $
So, on comparing this with the given two points, we can write
$
  {x_1} = 0,{x_2} = x \\
  {y_1} = 0,{y_2} = y \\
 $
So, on substituting these values in the distance formula, we can write
$d = \sqrt {{{(x - 0)}^2} + {{(y - 0)}^2}} $
So, from this we get
d=$\sqrt {{x^2} + {y^2}} $

Note: On applying square root we will get both positive and negative values ,since the value of the distance should always be a positive quantity, we will take only the positive value.