Q. 103.9( 17 Votes )
Let us write by calculation whether the three points O (0, 0), A(4, 3) and B(8, 6) are collinear.
We have O → (0, 0)
A → (4, 3)
B → (8, 6)
The distance of a point (x,y) from origin is given as , so
We know that distance between two points (x1, y1) and (x2, y2) is given by .
Using the above distance formula,
We find that,
OA + AB = 5 + 5 = 10 = OB
⇒ The points A, B and C are collinear.
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