A) \[-\frac{3}{2}\]
B) \[-\frac{5}{2}\]
C) \[-\frac{7}{2}\]
D) \[-\frac{9}{2}\]
Correct Answer: C
Solution :
| [c] Since \[\alpha ,\beta \] are the roots of the polynomial |
| \[p(x)={{x}^{2}}-5x+2.\] |
| \[\therefore \] Sum of roots \[=\alpha +\beta =5\] |
| Product of roots \[=\alpha \beta =2\] |
| Now, \[\frac{1}{\alpha }+\frac{1}{\beta }-3\alpha \beta =\frac{\alpha +\beta }{\alpha \beta }-3\alpha \beta =\frac{5}{2}-3(2)=-\frac{7}{2}\] |
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