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.

Answer :

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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RELATED QUESTIONS :

Let us calculate the distances between the two points given below:

(i) (5, 7) and (8, 3)


(ii) (7, 0) and (2, –12)


(iii) and (0, –2)


(iv) (3, 6) and (–2, –6)


(v) (1, –3) and (8, 3)


(vi) (5, 7) and (8, 3)

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