If α 1 , α 2 , α 3 , β 1 , β 2 , β 3 are the values of n for which _ r=0 ^ n-1 x^ 2 r is…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

If α1, α2, α3, β1, β2, β3 are the values of n for which \(\sum_{r=0}^{n-1} x^{2 r}\) is divisible by then the triangle having vertices (α1, β1), (α2, β2) and (α3, β3) cannot be.
  1. an isosceles triangle
  2. a right angled isosceles triangle
  3. a right angled triangle
  4. an equilateral triangle

Answer

(D) an equilateral triangle

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