Finding Value of K from Collinear Points Using Triangle Concept of Coordinate Geometry

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In above coordinate geometry question we have to find the value of unknown term "K' if the 3 points are given and one of them is in the form of K, where all points are collinear.
I hope this coordinate geometry tutorial was helpful in getting some concepts of coordinate geometry.
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Thanks mam you are helping for my paper preparation

rajbhatia
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Thanks myman now I am going to show the formula to my teacher and surprise him.

mdmosabbirhossainkhan
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How to find the value of two different variables? Like
A, B and C are collinear and A(a, 2), B(1, 3) and C(5, b). How to find the value of a and b??
I am stuck here

rajkecy