question_answer

The area of the triangle formed by the pair of straight lines \[{{(ax+by)}^{2}}-3{{(bx-ay)}^{2}}=0\]  and \[ax+by+c=0\], is

A)  \[\frac{{{c}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]           

B)  \[\frac{{{c}^{2}}}{2\,({{a}^{2}}+{{b}^{2}})}\]

C)  \[\frac{{{c}^{2}}}{\sqrt{2}\,({{a}^{2}}+{{b}^{2}})}\]       

D)  \[\frac{{{c}^{2}}}{\sqrt{3}\,({{a}^{2}}+{{b}^{2}})}\]