MathematicsIf the points (a,0), (0,b) and (3,2) are collinear, then find 2b+3a.

If the points (a,0), (0,b) and (3,2) are collinear, then find 2b+3a.


  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3 

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    Solution:

    Given that the points (a,0), (0,b) and (3,2) are collinear.
    Area of the triangle formed is 0.
    12a(b-2)+0(2-0)+3(0-b)=0
    ab-2a-3b=0
    2a+3b=ab
    2b+3a=1
      
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