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Let ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 a , 5 be the circumcentre of a triangle with vertices A(a, –2), B(a, 6) and C ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 – , 4 a . Let α denote the circumradius, β denote the area and γ denote the perimeter of the triangle. Then α + β + γ is-

  1. 62
  2. 60
  3. 30
  4. 53

Correct answer: 53

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