question_answer

If the equation \[a{{x}^{2}}+2hxy+b{{y}^{2}}=0\] represents two lines \[y={{m}_{1}}x\] and \[y={{m}_{2}}x,\] then             

A)  \[{{m}_{1}}+{{m}_{2}}=\,\frac{2h}{b}\,\,and\,\,{{m}_{1}}{{m}_{2}}=-\frac{a}{b}\]

B)  \[{{m}_{1}}+{{m}_{2}}=\frac{2h}{b}\,\,and\,\,{{m}_{1}}{{m}_{2}}=\frac{a}{b}\]

C)  \[{{m}_{1}}+{{m}_{2}}=\frac{2h}{b}\,\,and\,\,{{m}_{1}}{{m}_{2}}=-ab\]

D)  \[{{m}_{1}}+{{m}_{2}}=\frac{-2h}{b}\,\,and\,\,{{m}_{1}}{{m}_{2}}=\frac{a}{b}\]

E)  None of these