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📐 Mathematics  ·  Straight Lines  ·  JEE

The orthocentre of the triangle with vertices (0, 0), (4, 0) and (0, 6) is:

Answer: (0, 0).

  • A (2, 3)
  • B (0, 0)
  • C (4/3, 2)
  • D (2, 0)

Correct answer: B. (0, 0)

Explanation: The right angle is at the origin, so the orthocentre is the vertex (0, 0).

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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