The lines \(a x^2+2 h x y+b y^2=0\) are at right angles if
The lines \(a x^2+2 h x y+b y^2=0\) are at right angles if
\(a+b=0\)
\(a+b=1\)
\(h^2-a b=0\)
\(a=b\)
Solution
The acute angle \((\theta)\) between lines represented by equation \(a x^2+2 h x y+b y^2=0\), is
\(\theta=\tan ^{-1}\left(\frac{2 \sqrt{h^2-a b}}{|a+b|}\right)\)
If lines are perpendicular then \(a+b=0\).