MathematicsFind the value(s) of a for which the following points A (a, 3), B (2, 1) and C (5, a) are collinear.

Find the value(s) of a for which the following points A (a, 3), B (2, 1) and C (5, a) are collinear.


  1. A
    -4 and 1
  2. B
    -1 and 4
  3. C
    1 and -1
  4. D
    4 and -4 

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    Solution:

    Area of the triangle formed by collinear points is 0.
    12a1-a+2a-3+53-1=0
    a-a2+2a-6+10=0
    a2-3a-4=0
    a=-1,4
     
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