Question

The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3, find the slopes of the lines.

Answer 1

Let m₁ and m be the slopes of the two given lines such that m₁ = 2_{m .}
We know that if θ is the angle between the lines l₁ and l₂ with slopes m₁ and m₂, then