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Show that the Following Points Are Collinear: A(5,1), B(1, -1) and C(11, 4) - Mathematics

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Show that the following points are collinear:

A(5,1), B(1, -1) and C(11, 4)

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Solution

`"Let" A(x_1=5,y_1=1), B(x_2=1,y_2=-1) and C(x_3=11,y_3=4)`be the given points. 

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

=5(-1-4)+1(4-1)+11(1+1)

=-25+3+22

=0

Hence, the given points are collinear.

Concept: Area of a Triangle
  Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 13.3
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