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

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Show that the following points are collinear:

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

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Solution

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

`No w ,  x_1 (y_1-y)3)+x_2(y_3-y_1) + x_3(y_1-y_2)`

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

=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 13.1
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