Home
Class 11
MATHS
The minimum value of (x^(4)+y^(4)+ z^(2)...

The minimum value of `(x^(4)+y^(4)+ z^(2))/(xyz)` for positive real numbers x,y,z is

A

`sqrt(2)`

B

`2sqrt(2)`

C

`4 sqrt(2)`

D

`8sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If x and y are positive real numbers , then prove that x lt y iff x^2 lt y^2

Value of |(x+y,z,z),(x,y+z,x),(y,y,z+x)| where x , y ,z are non - zero real number is equal to a)xyz b)2xyz c)3xyz d)4xyz

If the equation of the sphere through the circle x ^(2) +y ^(2) + z ^(2) = 9, 2x + 3y + 4z = 5 and through the point (1,2,3) is 3 (x ^(2) + y ^(2) + z ^(2)) - 2x - 3y - 4z = C, then the value of C is

If x,y,z are real and 4x^(2) +9y^(2)+16z^(2) -6xy-12yz-8zx =0 then x,y,z are in

If the equation of the sphere through the circle and the plane x ^(2) + y ^(2) + z^(2) = 5, 2x + 3y + 4z = 5 and through the origin is x ^(2) + y ^(2) + z ^(2) - 2x - 3y - 4z + c =0 .Then value of c is