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📐 Mathematics  ·  Straight Lines  ·  JEE

The distance between the parallel lines 3x + 4y = 9 and 3x + 4y = 1 is:

Answer: 8/5.

  • A 8/5
  • B 2
  • C 6/5
  • D 10/5

Correct answer: A. 8/5

Explanation: Distance = |9 − 1|/√(3²+4²) = 8/5.

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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