If the roots of the equation \[{{x}^{2}}-5x+16=0\] are \[\alpha ,\beta \] and the roots of equation \[{{x}^{2}}+px+q=0\] are \[{{\alpha }^{2}}+{{\beta }^{2}},\] \[\frac{\alpha \beta }{2},\] then [MP PET 2001]

If the roots of the equation \[{{x}^{2}}-5x+16=0\] are \[\alpha ,\beta

1.	If the roots of the equation \[{{x}^{2}}-5x+16=0\] are \[\alpha ,\beta \] and the roots of equation \[{{x}^{2}}+px+q=0\] are \[{{\alpha }^{2}}+{{\beta }^{2}},\] \[\frac{\alpha \beta }{2},\] then [MP PET 2001]
A.	p = 1, q = - 56
B.	p = - 1, q = - 56
C.	p = 1, q = 56
D.	p = - 1, q = 56
Answer» C. p = 1, q = 56

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If the roots of the equation \[{{x}^{2}}-5x+16=0\] are \[\alpha ,\beta \] and the roots of equation \[{{x}^{2}}+px+q=0\] are \[{{\alpha }^{2}}+{{\beta }^{2}},\] \[\frac{\alpha \beta }{2},\] then [MP PET 2001]

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