If the point (2,3) ,(4,4)and (6,_3) are co- linear then find the value

1.	If the point (2,3) ,(4,4)and (6,_3) are co- linear then find the value of k
Answer» This question is Example 14 from chapter 7 page 169Example 14 : Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) arecollinear.Solution : Since the given points are collinear, the area of the triangle formed by themmust be 0.So {tex}\\begin{array}{l}\\frac12\\lbrack2(k+3)+4(-3-3)+6(3-k)\\rbrack=0\\\\\\frac12(2k+6-24+18-6k)=0\\\\\\frac12\\times-4k=0\\\\or\\;k=0\\end{array}{/tex}\xa0 Correct Question -\xa0Find the value of k if the points A(2,3) ,B(4,k) and C(6,-3) are collinear. Solution:Given that A, B and C are collinear. Hence ar(DABC) = 0\xa0 Where is k

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