A) \[\left| a \right|\ge 1\]
B) \[\left| a \right|<1\]
C) \[a>1\]
D) \[a<1\]
Correct Answer: A
Solution :
The graph of \[y=2-\left| {{x}^{2}}+5x+6 \right|\]is drawn in the adjacent figure. Clearly/'Qc) will have maxima at |
\[x=-2\]only if \[{{a}^{2}}+1\ge 2\Rightarrow \left| a \right|\ge 1\] |
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