If a root of the equations \[{{x}^{2}}+px+q=0\] and \[{{x}^{2}}+\alpha x+\beta =0\] is common, then its value will be (where \[p\ne \alpha \] and \[q\ne \beta \]) [IIT 1974, 1976; RPET 1997]

\[\frac{p\beta -\alpha q}{q-\beta }\]

\[\frac{q-\beta }{\alpha -p}\]or \[\frac{p\beta -\alpha q}{q-\beta }\]

If a root of the equations \[{{x}^{2}}+px+q=0\] and \[{{x}^{2}}+\alpha

1.	If a root of the equations \[{{x}^{2}}+px+q=0\] and \[{{x}^{2}}+\alpha x+\beta =0\] is common, then its value will be (where \[p\ne \alpha \] and \[q\ne \beta \]) [IIT 1974, 1976; RPET 1997]
A.	\[\frac{q-\beta }{\alpha -p}\]
B.	\[\frac{p\beta -\alpha q}{q-\beta }\]
C.	\[\frac{q-\beta }{\alpha -p}\]or \[\frac{p\beta -\alpha q}{q-\beta }\]
D.	None of these
Answer» D. None of these

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If a root of the equations \[{{x}^{2}}+px+q=0\] and \[{{x}^{2}}+\alpha x+\beta =0\] is common, then its value will be (where \[p\ne \alpha \] and \[q\ne \beta \]) [IIT 1974, 1976; RPET 1997]

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