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A lamp is to be placed equidistant from three trees at O(0, 0), A(8, 0) and B(0, 6) in a park (metres). Where should it go?

Class 10Classifying Shapes by CoordinatesGeometry — Coordinates
  • A(4, 3)
  • B(0, 0)
  • C(2, 2)
  • D

Step-by-Step Solution

Angle O is 90°, so the point equidistant from all three vertices is the midpoint of hypotenuse AB: (4, 3). Each distance is 5 m. is the centroid, which is not equidistant.
Answer: A) (4, 3)

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