question_answer

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.

\[\frac{k-3}{4-2}=\frac{-\,3-k}{6-4}\]

\[\Rightarrow \]   \[\frac{k-3}{2}=\frac{-\,3-k}{2}\]

\[\Rightarrow \]   \[2k=0\]\[\Rightarrow \]\[k=0\]