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

## Question

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

✨ Free AI Tools for You

Powered by Chatterbot AI

## Answer

To find the distance of a point $P(x, y)$ from the origin, we start by understanding the coordinates of the origin, which are $(0, 0)$.

The formula for the distance between any two points $(x_1, y_1)$ and $(x_2, y_2)$ in a Cartesian plane is given by the **distance formula**:

$$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

In this case, the second point is the origin $(0,0)$ and the first point is $P(x,y)$. Plugging in these values, we thus have:

$$ d = \sqrt{(0 - x)^2 + (0 - y)^2} $$

This simplifies to:

$$ d = \sqrt{x^2 + y^2} $$

Therefore, the **distance** of the point $P(x, y)$ from the origin is:

$$ \sqrt{x^2 + y^2} $$

This represents the **Euclidean distance** from the origin to the point $P$ in the plane.

India's 1^{st} AI Doubt Solver for CBSE, JEE, and NEET

and then it's just ₹212 a month