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Three towns lie on a straight highway: Anand at (1, 2), Bharat exactly midway, and Chetan at (13, 14). A toll booth sits at the midpoint of Anand and Bharat. Find the toll booth coordinates.

Class 10Midpoint ApplicationsGeometry — Coordinates
  • A(4, 5)
  • B(7, 8)
  • C(3.5, 4.5)
  • D(2.5, 3.5)

Step-by-Step Solution

Bharat = midpoint of Anand and Chetan = ((1+13)/2,(2+14)/2) = (7, 8). Toll = midpoint of (1,2) and (7,8) = (4, 5).
Answer: A) (4, 5)

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