# Cartesian System of Rectangular Co-Ordinates, Quardrants, Distance Between Two Points

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## Quardrants

We know that coordinate axes and divide the region of the plane into four regions. These regions are called the quardrants as shown in Fig. In accordance with the convention of signs, for a point in different quadrants, we have

## Distance between Two Points

Recall that you have derived the distance formula between two points and in the following manner:

Let us draw a line through. Let be the point of intersection of the perpendicular from to the line. Then is a right-angled triangle.

Also

And

Now (Pythagoras theorem)

Example:

Find the distance between the following pairs of points:

(1) and (2) and

Solution:

(1) Distance between two points

Here

Distance between and

Distance between and is units.

(2) Here

Distance between and

Distance between and is units

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