The least value of alpha in R for which ...

The least value of `alpha in R` for which `4alphax^(2)+(1)/(x)ge1,` for all `xgt0,` is

A

`1/64`

B

`1/32`

C

`1/27`

D

`1/25`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The least value of a in R for which 4ax^(2)+(1)/(x)>=1, for all x>0, is

The set of values of p inR for which x^2 +px+ 1/4 (p+2)ge 0 for all x in R is

The set of values of a for which (a - 1) x^(2) - (a + 1) x + a - 1 ge 0 ture for all x ge 2 is

If alpha and beta be the roots of the equation x^(2)-2x+2=0, then the least value of n for which ((alpha)/(beta))^(n)=1 is:

If alpha and beta are roots of the equation x^(2)-2x+2=0, then the least value of n for which ((alpha)/beta)^(n)=1 is