Q15 of 184 Page 10

Find the values of x if the points (2x, 2x), (3, 2x+1) and (1, 0) are collinear.

Given (2x, 2x), (3, 2x+1) and (1, 0)


We know the points are collinear if the area(∆ABC)=0


Area of triangle


Then, Area



4x2 - 4x – 1 = 0


4x2 - 2x - 2x – 1 = 0


2x(2x - 1) - 1(2x - 1) = 0


(2x-1)(2x-1)=0


Hence,


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