State wheather the following points are collinear or non collinear A(1,3) ,B(3,-2),C(-3,16)
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- A = (1 , 3)
- B = (3 , -2)
- C = (-3 , 16)
» We are supposed to prove that these poins are collinear.
- Collinear Points : The points which line on a straight line.
» We know that, if the points are collinear then, they would be forming a line, if connected.
» So, If these points are on a line, they won't be forming any figure , so, we can say that the area of a triangle formed by these points would be 0 as, the points are collinear. If the area is not 0 then the points would not be collinear.
Compare the points A, B & C with
So,
Thus,
Put these values in the formula for finding the area of a triangle.
Substitute the values in the formula..
As you can see :
So,
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