A) \[4\]
B) \[5\]
C) \[6\]
D) \[\frac{25}{4}\]
Correct Answer: D
Solution :
Key Idea: For imaginary roots, the discriminant will be negative. Given quadratic equation is \[{{x}^{2}}+5x+k=0\] Since, roots are imaginary \[\therefore \] Discriminant,\[D<0\] \[\Rightarrow \] \[{{(5)}^{2}}-4k<0\] \[\Rightarrow \] \[k<\frac{25}{4}\] \[\therefore \]Least value of \[k\] is\[\frac{25}{4}\].You need to login to perform this action.
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