Question

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

Answer 1

Given point: $P(x,y)$ and origin $O(0,0)$

We know that,

Distance between two points given by $=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

Here, Let $(x_2,y_2)=P(x,y)$ and $(x_1,y_1)=(0,0)$

$\Rightarrow OP=\sqrt{(x-o{)}^2+(y-0{)}^2}\Rightarrow OP=\sqrt{x^2+y^2}$

Thus the distance of the point $P(x,y)$ from the origin $O(0,0)$ is $\sqrt{x^2+y^2}$