question_answer

The angle between the lines represented by the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\]is given by                 [RPET 1995]

A)            \[\tan \theta =\frac{2({{h}^{2}}-ab)}{(a+b)}\]           

B)            \[\tan \theta =\frac{2\sqrt{{{h}^{2}}-ab}}{(a+b)}\]

C)            \[\tan \theta =\frac{2({{h}^{2}}-ab)}{\sqrt{a+b}}\] 

D)            \[\tan \theta =\frac{2\sqrt{{{h}^{2}}+ab}}{(a+b)}\]