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📐 Mathematics  ·  Straight Lines  ·  JEE

The centroid of triangle with vertices (0,0), (6,0), (0,6) is:

Answer: (2,2).

  • A (2,2)
  • B (3,3)
  • C (4,4)
  • D (1,1)

Correct answer: A. (2,2)

Explanation: Centroid = ((0+6+0)/3, (0+0+6)/3) = (2,2).

Slope as Rise over Runxy(x₁,y₁)(x₂,y₂)run = x₂−x₁rise = y₂−y₁m = rise/run = (y₂−y₁)/(x₂−x₁) = tanθ

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

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