Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+(3-\lambda )x-\lambda =0.\]The value of \[\lambda \] for which \[{{\alpha }^{2}}+{{\beta }^{2}}\] is minimum, is [AMU 2002]

Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+(3-\lambda )x-\lamb

1.	Let \[\alpha ,\beta \] be the roots of \[{{x}^{2}}+(3-\lambda )x-\lambda =0.\]The value of \[\lambda \] for which \[{{\alpha }^{2}}+{{\beta }^{2}}\] is minimum, is [AMU 2002]
A.	0
B.	1
C.	2
D.	3
Answer» D. 3