Find the asymptotes of xy−3y−2x=0.
Since equation of a hyperbola and its asymptotes differ in constant terms only,
∴ Pair of asymptotes is given by xy−3y−2x+λ=0
where λ is any constant such that it represents two straight lines.
∴abc+2fgh−af2−bg2−ch2=0⇒0+2×−32×−112−0−0−λ(12)2=0∴λ=6xy−3y−2x+6=0or(y−2)(x−3)=0∴ Asymptotes are x−3=0 and y−2=0