If f(x)={{:(3-x^(2)",",xle2),(sqrt(a+14)...

If `f(x)={{:(3-x^(2)",",xle2),(sqrt(a+14)-|x-48|",",xgt2):}` and if f(x) has a local maxima at x = 2, then greatest value of a is

A

a cannot be determined

B

least value of a is 2011

C

greater value of a is 2011

D

`a ge 3010

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Verified by Experts

The correct Answer is:

C

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