Question

The angle between the lines whose intercepts on the axes are (a,-b) and (b,-a) respectively, is

• A. tan⁻1((a²-b²)/(ab))
• B. tan⁻1((b²-a²)/(2))
• C. tan⁻1((b²-a²)/(2ab))
• D. None of these

Hint:

Use tanθ=|(m₁-m₂)/(1+m₁m₂)|.

Answer 1

The Correct Option is C

Slopes: m₁=-(b)/(a), m₂=-(a)/(b) tanθ=|(m₁-m₂)/(1+m₁m₂)| =|((a²-b²)/(ab))/(2)| =(|b²-a²|)/(2ab)