1.

If \[\alpha ,\beta \] be the roots of \[{{x}^{2}}-px+q=0\]and \[{\alpha }',{\beta }'\] be the roots of \[{{x}^{2}}-{p}'x+{q}'=0\], then the value of \[{{(\alpha -\alpha ')}^{2}}+{{(\beta -{\alpha }')}^{2}}+{{(a-{\beta }')}^{2}}+{{(\beta -{\beta }')}^{2}}\] is

A. \[2\{{{p}^{2}}-2q+{{{p}'}^{2}}-2{q}'-p{p}'\}\]
B. \[2\{{{p}^{2}}-2q+{{{p}'}^{2}}-2{q}'-q{q}'\}\]
C. \[2\{{{p}^{2}}-2q-{{{p}'}^{2}}-2{q}'-p{p}'\}\]
D. \[2\{{{p}^{2}}-2q-{{{p}'}^{2}}-2{q}'-q{q}'\}\]
Answer» B. \[2\{{{p}^{2}}-2q+{{{p}'}^{2}}-2{q}'-q{q}'\}\]


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