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Find the two points of trisection of the segment joining A(3, -4) and B(-6, 8).

Class 10Section FormulaGeometry — Coordinates
  • A(0, 0) and (-3, 4)
  • B(1, 0) and (-2, 4)
  • C(-1.5, 2) and (0, 0)
  • D(-3, 4) and (-6, 8)

Step-by-Step Solution

Ratio 1 : 2 gives and , i.e. (0, 0). Ratio 2 : 1 gives and , i.e. (-3, 4). The pair (1, 0) and (-2, 4) divides the coordinate differences by 3 but adds them back to the wrong endpoint; (-1.5, 2) is the midpoint used in place of a trisection point; the last option quotes B itself as one of the two points.
Answer: A) (0, 0) and (-3, 4)

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