If \[\alpha ,\beta \] are the roots of \[{{x}^{2}}+px+1=0\] and \[\gamma ,\delta \]are the roots of \[{{x}^{2}}+qx+1=0\],then \[{{q}^{2}}-{{p}^{2}}\]= [IIT 1978; DCE 2000]

\[(\alpha +\gamma )(\beta +\gamma )(\alpha -\delta )(\beta +\delta )\]

\[(\alpha -\gamma )(\beta -\gamma )(\alpha +\delta )(\beta +\delta )\]

\[(\alpha +\gamma )(\beta +\gamma )(\alpha +\delta )(\beta +\delta )\]

If \[\alpha ,\beta \] are the roots of \[{{x}^{2}}+px+1=0\] and \[\gam

1.	If \[\alpha ,\beta \] are the roots of \[{{x}^{2}}+px+1=0\] and \[\gamma ,\delta \]are the roots of \[{{x}^{2}}+qx+1=0\],then \[{{q}^{2}}-{{p}^{2}}\]= [IIT 1978; DCE 2000]
A.	\[(\alpha -\gamma )(\beta -\gamma )(\alpha +\delta )(\beta +\delta )\]
B.	\[(\alpha +\gamma )(\beta +\gamma )(\alpha -\delta )(\beta +\delta )\]
C.	\[(\alpha +\gamma )(\beta +\gamma )(\alpha +\delta )(\beta +\delta )\]
D.	None of these
Answer» B. \[(\alpha +\gamma )(\beta +\gamma )(\alpha -\delta )(\beta +\delta )\]

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If \[\alpha ,\beta \] are the roots of \[{{x}^{2}}+px+1=0\] and \[\gamma ,\delta \]are the roots of \[{{x}^{2}}+qx+1=0\],then \[{{q}^{2}}-{{p}^{2}}\]= [IIT 1978; DCE 2000]

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