Question

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

Answer 1

Using distance formula

`l(OP) = sqrt((x-0)^2 + (y - 0)^2)`

`l(OP) = sqrt(x^2 + y^2)`

Answer 2

The given point is P(x, y). 

The origin is O(0, 0)

`PO =  sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) = sqrt((x-0)^2 + (y-0)^2) = sqrt(x^2 + y^2)`

Thus, the distance of point P from the origin is PO =  `sqrt(x^2 + y^2)` units