A) \[\pm 2\]
B) \[\pm 4\]
C) \[\pm 6\]
D) \[\pm 8\]
Correct Answer: C
Solution :
As given, if \[\alpha ,\beta \] are the roots, then \[\alpha +\beta =p\] and \[\alpha \beta =8\] \[\therefore {{(\alpha +\beta )}^{2}}-{{(\alpha -\beta )}^{2}}=4\alpha \beta \] Þ \[{{p}^{2}}-{{2}^{2}}=4(8)\,\,\Rightarrow {{p}^{2}}=36\,\,\Rightarrow p=\pm 6\]
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