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Let (  ,  ) be the centroid of the triangle formed by the lines 15x – y = 82, 6x – 5y = – 4 and 9x + 4y = 17. Then  + 2  and 2  –  are the roots of the equation :

  1. x 2 – 7x + 12 = 0
  2. x 2 – 14x + 48 = 0
  3. x 2 – 13x + 42 = 0
  4. x 2 – 10x + 25 = 0

Correct answer: x 2 – 13x + 42 = 0

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