Q10 of 20 Page 52

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


OA




= 5


and OB




= 10


We know that distance between two points (x1, y1) and (x2, y2) is given by .


Using the above distance formula,


AB





= 5


We find that,


OA + AB = 5 + 5 = 10 = OB


⇒ The points A, B and C are collinear.


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