The value of k if the points A(2,3), B(4, k) and \[C\,(6,-\,3)\] are collinear, is |
A) 0
B) 1
C) 2
D) 3
Correct Answer: A
Solution :
Since, the points are collinear. |
\[\frac{k-3}{4-2}=\frac{-\,3-k}{6-4}\] |
\[\Rightarrow \] \[\frac{k-3}{2}=\frac{-\,3-k}{2}\] |
\[\Rightarrow \] \[2k=0\]\[\Rightarrow \]\[k=0\] |
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