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         [CEE 1993; MP PET 1988]

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 \[{{m}_{1}}{{m}_{2}}=\frac{a}{b}\]

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