Mathematics - Straight Lines Question with Solution | TestHub

Equation of the line $\frac{x}{a}+\frac{y}{b}=1$. Transformed equation is $\frac{1}{a}(x\cos \alpha -y\sin \alpha )+\frac{1}{b}(x\sin \alpha +y\cos \alpha )=1$. Intercepts are equal $\Rightarrow x$-coefficient $=y$-coefficient. $\therefore \tan \alpha =\frac{a-b}{a+b}$.