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If f(x)=(3x^(2)+1)/(sqrt(x^(4)+x^(2))) A...

If `f(x)=(3x^(2)+1)/(sqrt(x^(4)+x^(2))) AA 0gtxlesqrt(2)`, then `f(x)` has minimum value `M` at `x=m`. Then `(m^(2) +1/(M^(2)))` is equal to

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The correct Answer is:
`00001.12`
`00001.12`
`:. (2x)/(sqrt(x^(2)+1))+(sqrt(x^(2)+1))/x ge 2 sqrt((2x)/(sqrt(x^(2)+1))xx (sqrt(x^(2)+1))/x)=2sqrt(2)`
`:. M=2sqrt(2)` & `m=+-1`, i.e. `m=1`
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