Question

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

• A. \(\tan^{-1}\!\frac{a^2-b^2}{ab}\)
• B. \(\tan^{-1}\!\frac{b^2-a^2}{2}\)
• C. \(\tan^{-1}\!\frac{b^2-a^2}{2ab}\)
• D. None of these

Hint:

Use slope form for angle between lines.

Answer 1

The Correct Option is C

Slopes are -b/a and -a/b. tanθ=|(m₁-m₂)/(1+m₁m₂)| =(|b²-a²|)/(2ab).