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Let ab=1, then the minimum value of (1)/...

Let `ab=1`, then the minimum value of `(1)/(a^(4))+(1)/(4b^(4))` is

A

`1`

B

`2`

C

`1//4`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` Using `A.M. ge G.M.`, we get
`((1)/(a^(4))+(1)/(4b^(4)))/(2) ge (1)/(2)` (as `ab=1`)
`implies(1)/(a^(4))+(1)/(4b^(4)) ge 1` Hence minimum value of `((1)/(a^(4))+(1)/(4b^(4)))` is `1`
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