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

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

All the values of β for which angle A of the triangle ABC is largest lie in interval.
  1. (–2, 1)
  2. \(\left(-2, \frac{2}{3}\right) \cup\left(\frac{2}{3}, 1\right)\)
  3. \(\left(-2, \frac{2}{3}\right) \cup\left(\frac{2}{3}, \sqrt{6}\right)\)
  4. None of these

Answer

(C) (-2, 2 3 ) ( 2 3 , 6 )

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