CORE Coordinate Geometry and Transformations - New Indian ...
CORE Coordinate Geometry and Transformations - New Indian ...
CORE Coordinate Geometry and Transformations - New Indian ...
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2. Distance Between Two Points in a Cartesian Plane<br />
Let the coordinates of the two points P <strong>and</strong> Q be (x1, y1) <strong>and</strong> (x2, y2) respectively (See<br />
Fig.12)<br />
Fig. 12<br />
Draw PR x axis <strong>and</strong> QS<br />
x axis.<br />
Also draw PT QS.<br />
Clearly, RS = x2 – x1 = PT.<br />
QT = y2 – y1<br />
PQT is a right triangle. Using Pythagoras Theorem<br />
(PQ) 2 = (PT) 2 + (QT) 2<br />
= (x2 – x1) 2 + (y2 – y1) 2<br />
or PQ = (1)<br />
This is referred to as distance formula.<br />
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