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Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) ...

Let `g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3) " and " f(x)=sqrt(g(x))`, f(x) has its non-zero local minimum and maximum values at -3 and 3, respectively. If `a_(3) in` the domain of the function
`h(x)=sin^(-1)((1+x^(2))/(2x))`.
The value of `a_(0)` is

A

`a_(0) gt 830`

B

`a_(0) lt 830`

C

`a_(0)=830`

D

None of these

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The correct Answer is:
d
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