A) \[{{p}^{2}}-4q\]
B) \[{{({{p}^{2}}-4q)}^{2}}\]
C) \[{{p}^{2}}+4q\]
D) \[{{({{p}^{2}}+4q)}^{2}}\]
E) \[{{q}^{2}}-4q\]
Correct Answer: A
Solution :
\[\because \]\[\alpha \]and\[\beta \]are roots of \[{{x}^{2}}-px+q=0\] \[\because \] \[\alpha +\beta =p,\alpha \beta =q\] \[\therefore \] \[{{(\alpha -\beta )}^{2}}={{(\alpha +\beta )}^{2}}-4\alpha \beta ={{p}^{2}}-4q\]
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