A) 3
B) 8
C) 7
D) 6
Correct Answer: C
Solution :
Expression is always positive if \[2m+1>0\] |
\[\Rightarrow \] \[m>-\frac{1}{2}\] |
and \[D<0\] |
\[\Rightarrow \] \[{{m}^{2}}-6m-3<0\] |
\[3-\sqrt{12}<m<3+\sqrt{12}\] ? (iii) |
\[\therefore \] Common interval is \[3-\sqrt{12}<m<3+\sqrt{12}\] |
\[\therefore \] Integral value of m \[\left\{ 0,\,\,1,\,\,2,\,\,3,\,\,4,\,\,5,\,\,6 \right\}.\] |
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