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📐 Mathematics  ·  Straight Lines  ·  JEE

The distance of the point (1, 1) from the line 3x + 4y − 12 = 0 is:

Answer: 1.

  • A 1
  • B 5
  • C 12
  • D 7

Correct answer: A. 1

Explanation: Distance = |3(1) + 4(1) − 12| / √(3² + 4²) = 5/5 = 1.

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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