If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) are collinear, then the rank of the matrix [\table x_1,y_1,1;x_2,y_2,1;x_3,y_3,1] will always be less than

VITEEE 2013 Paper

Section: Mathematics

Question : 99 of 120

Marks: +1, -0

If the points (x1,y1), (x2,y2) and (x3,y3) are collinear, then the rank of the matrix [

] will always be less than

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x2−x1	y2−y1
x3−x1	y3−y1