Mathematics

Problem

If the value of

\begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix}

is zero for three points

(x_1,y_1),\,(x_2,y_2),\,(x_3,y_3)

, what can be concluded about these points? a) They form an equilateral triangle b) They are collinear c) They form a right-angled triangle d) The centroid of the triangle formed by them is at the origin

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