f(x) = {{:(2 - |x^(2)+5x + 6|,x ne -2),(...

`f(x) = {{:(2 - |x^(2)+5x + 6|,x ne -2),(a^(2) + 1,x = -2):}`. Then the range of a, so that f(x) has maxima at x = -2, is

A

`|a| ge 1`

B

`|a| lt 1`

C

`a gt 1`

D

`a lt 1`

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The correct Answer is:

A

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