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Question

The points (p - 1, p+2), (p, p+1), (p+1, p) are collinear for 
  1. p = 0
  2. p = 1
  3. p = - 1 / 2
  4. Any value of p


Solution

The correct option is D Any value of p
For 3 points to be collinear.
(i) Either the slope of any two of the 3 points should be equal to the slope of any other two points. Or 
(ii) The area of the triangle formed by the three points should be equal to zero.

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