Which one of the following conditions guarantees that the three points

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Which one of the following conditions guarantees that the three points (x1,y1)(x_1,y_1), (x2,y2)(x_2,y_2) and (x3,y3)(x_3,y_3) are collinear? (a) x1y2+x2y3+x3y1=0x_1y_2+x_2y_3+x_3y_1=0 (b) y2−y1x2−x1+y3−y2x3−x2=0\displaystyle \frac{y_2-y_1}{x_2-x_1}+\frac{y_3-y_2}{x_3-x_2}=0 (c) ∣x1y11x2y21x3y31∣=0\begin{vmatrix}x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1\end{vmatrix}=0 (d) ∣x1y1x2y2∣=0\begin{vmatrix}x_1 & y_1 \\ x_2 & y_2\end{vmatrix}=0

Related theory

Browse the problem library