1.

If \[\alpha ,\beta \] are the roots of the quadratic equation \[{{x}^{2}}+bx-c=0\], then the equation whose roots are \[b\]and  \[c\] is [Pb. CET 1989]

A. \[{{x}^{2}}+\alpha x-\beta =0\]
B.   \[{{x}^{2}}-[(\alpha +\beta )+\alpha \beta ]x-\alpha \beta (\alpha +\beta )=0\]
C. \[{{x}^{2}}+[(\alpha +\beta )+\alpha \beta ]x+\alpha \beta (\alpha +\beta )=0\]
D. \[{{x}^{2}}+[\alpha \beta +(\alpha +\beta )]x-\alpha \beta (\alpha +\beta )=0\]
Answer» D. \[{{x}^{2}}+[\alpha \beta +(\alpha +\beta )]x-\alpha \beta (\alpha +\beta )=0\]


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