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A, B and C are three points on a straight road, with A(1, -2) and B(9, 6), and B divides AC in the ratio 4 : 3.
A milestone M is set at the point dividing AB in the ratio 1 : 3.
Find C and M.

Class 10Section FormulaGeometry — Coordinates
  • AC(13, 10) and M(3, 0)
  • BC(15, 12) and M(5, 2)
  • CC(15, 12) and M(7, 4)
  • DC(15, 12) and M(3, 0)

Step-by-Step Solution

For gives and ; gives and , so = (15, 12). For on AB with ratio 1 : 3: and , so (13, 10) mis-solves as ; (5, 2) treats as the midpoint of AB; (7, 4) uses the ratio 3 : 1 instead of 1 : 3.
Answer: D) C(15, 12) and M(3, 0)

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