Let A (0, β), B (–2, 0) and C (1, 1) be the vertices of a triangle then Angle A of the…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

Let A (0, β), B (–2, 0) and C (1, 1) be the vertices of a triangle then

Angle A of the triangle ABC will be obtuse if β lies in
  1. (–1, 2)
  2. \(\left(2, \frac{5}{2}\right)\)
  3. \(\left(-1, \frac{2}{3}\right) \cup\left(\frac{2}{3}, 2\right)\)
  4. None of these

Answer

(C) (-1, 2 3 ) ( 2 3 , 2 )

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