A) \[\frac{9}{4}\]
B) 1
C) 2.5
D) 3
Correct Answer: A
Solution :
Since, (-4) is a root of \[{{x}^{2}}-px-4=0\]. Sine, both the roots of this equation are equal. \[\therefore \] Sum of the roots \[(\alpha +\alpha )2\alpha =-3\] \[\Rightarrow \] \[\alpha =\frac{-3}{2}\] \[\therefore \] Product of t roots \[(\alpha \cdot \alpha )={{\alpha }^{2}}\] \[=\,\left( -\frac{3}{2} \right)=\frac{9}{4}=k\] \[\therefore \] \[k=\frac{9}{4}\]You need to login to perform this action.
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