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Question

Prove that the points (a,b),(0,0),(a,b) and (a2,ab) are collinear.

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Solution

As per slope formula:

m=y2y1x2x1

As per given points

Slope of AB = 0(b)0(a)

=ba

Slope of CD = b(a1)a(a1)

=ba

Slope AB and slpoe of CD =ba

points A,B,C & D are colinear.


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