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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(iv) d =<br />
=<br />
Distance of the point P (a, b) from the origin is given by d =<br />
(v) d =<br />
=<br />
=<br />
Example 6: Determine whether the following points are collinear or not:<br />
(i) A (3, 1), B (6,4) <strong>and</strong> C (8,6)<br />
(ii) P (1,5), Q (2,3) <strong>and</strong> R (-2, -11)<br />
Solution: Here, AB = =<br />
BC = =<br />
CA = =<br />
Here, CA = AB + BC (5 = + )<br />
So, A, B <strong>and</strong> C are collinear points.<br />
(iii) Here, PQ = =<br />
QR = =<br />
RP = =<br />
As PR<br />
PQ + QR, so P, Q <strong>and</strong> R are not collinear.<br />
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