question_answer

The product of perpendiculars drawn from the origin to the lines represented by the equation\[a{{x}^{2}}+2hxy+b{{y}^{2}}+2gx+2fy+c=0\], will be  [Bihar CEE 1994]

A)            \[\frac{ab}{\sqrt{{{a}^{2}}-{{b}^{2}}+4{{h}^{2}}}}\]

B)            \[\frac{bc}{\sqrt{{{a}^{2}}-{{b}^{2}}+4{{h}^{2}}}}\]

C)            \[\frac{ca}{\sqrt{({{a}^{2}}+{{b}^{2}})+4{{h}^{2}}}}\]           

D)            \[\frac{c}{\sqrt{{{(a-b)}^{2}}+4{{h}^{2}}}}\]