Question

On collinearity of three points.


Prove that the points (2, 3), (-4, -6), (1,3/ 2) cannot be the three vertices of a triangle.


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Answer 1

Hello Friend....☺

Given points are (2, 3), (-4, -6), (1,3/ 2)..

If slope between at least two of these three points is same then these points can not be vertices of triangle...

M1 = (-6-3)/(-4-2) = -9/-6 = 3/2

M2 = (3/2-3)/(1-2) = 3/2

Hence proved two slopes are same...