Zaymiey

📐 Mathematics  ·  Straight Lines  ·  JEE

The angle between lines y = √3 x and y = 0 is:

Answer: 60°.

  • A 30°
  • B 45°
  • C 60°
  • D 90°

Correct answer: C. 60°

Explanation: Slope of y = √3 x is √3 = tan 60°. The line y = 0 (x-axis) has slope 0. Angle = 60°.

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

Read the full Straight Lines notes →