A) 0
B) 1
C) 2
D) 3
Correct Answer: B
Solution :
D > 0 64 - 4 (k - 2) (k + 4) > 0 \[16-({{k}^{2}}+k-8)>0\] \[{{k}^{2}}+2k-24<0\] \[(k+6)\,(k-4)\,<0\] \[k\in (-6,\,\,4)\] ?(1) Sum of root \[=\frac{8}{2(2-k)}<0\] \[\therefore \,\,2-k<0\] Product of roots > 0 \[\Rightarrow \,\,\frac{k+4}{k-2}>0\,\,\Rightarrow \,\in \,(-\infty ,\,-4)\,\cup \,(2,\infty )\] \[(1)\cap (2)\cap (3)\,\Rightarrow \,k\in (2,4)\]
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