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📐 Mathematics  ·  Straight Lines  ·  JEE

The acute angle between the lines y = √3 x and y = x/√3 is:

Answer: 30°.

  • A 15°
  • B 30°
  • C 45°
  • D 60°

Correct answer: B. 30°

Explanation: Slopes correspond to inclinations 60° and 30°, so the acute angle between them is 30°.

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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