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Find the coordinates of the point that divides the line segment joining (1, 2) and (7, 11) internally in the ratio 2 : 1.

Competition practiceGeometry
  • A(5, 8)
  • B(3, 5)
  • C(4, 6)
  • D(6, 9)

Step-by-Step Solution

By the section formula, = (2·7 + 1·1)/3 = 15/3 = 5 and = (2·11 + 1·2)/3 = 24/3 = 8, giving (5, 8).
Answer: A) (5, 8)

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