A) 16
B) 9
C) 5
D) 12
Correct Answer: D
Solution :
One root of the equation \[{{x}^{2}}-4x-K=0\]is 6. Let other root \[=\beta \] \[\alpha +\beta =-\frac{b}{a}=\frac{4}{1}=6+\beta =4\] \[\Rightarrow \] \[\beta =-2\Rightarrow \alpha \times \beta =\frac{c}{a}=\frac{-K}{1}\] \[\Rightarrow \] \[6x-2=-K\Rightarrow K=12\]
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