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Question

The points (–a, –b), (0, 0), (a, b) and (a^2, ab) are
  1. vertices of a rectangle
  2. vertices of a parallelogram
  3. collinear
  4. none of these


Solution

The correct option is C collinear
Let A  (a,b),B  (0,0)c(a,b) and D (a2,ab)Then, slope of AB=ba, slope of BC =ba and slope of CD = abba2a=b(a1)a(a1)=ba
Thus, the points A, B, C and D are collinear
 

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