# Show that the Following Points Are Collinear: A(8,1), B(3, -4) and C(2, -5) - Mathematics

Show that the following points are collinear:

A(8,1), B(3, -4) and C(2, -5)

#### Solution

"Let" A(x_1=8,y_1=1), B (x_2=3, y_2=-4) and C (x_3 = 2, y_3=-5)  be the given points.

Now x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)

=8 (-4+5) +3 (-5-1) +2(1+4)

= 8 - 18 + 10

=0

Hence, the given points are collinear.

Concept: Area of a Triangle
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 13.4