If `x^(2)+y^(2)+z^(2)=1`, where `x,y,z in R^(+)` then greatest value of `x^(2)y^(3)z^(4)` is

If 3x+4y+z=5, where x,y,z in R, then minimum value of 26(x^(2)+y^(2)+z^(2)) is

Let x,y,z in R and 2x+y+3z=20 then min.value of x^(2)+4y^(2)+z^(2) will be

If 4x+3y+12z=26, x, y, z, in R , then minimum possible value of x^(2)+y^(2)+z^(2) is __________

If x^(2) + 3y^(2) + 4z^(2)+ 19 = 4 sqrt(3) ( x + y + z) , then the value of ( x - y + 4z) is:

If x+y+z=12 and x^(2)+y^(2)+z^(2)=96 and (1)/(x)+(1)/(y)+(1)/(z)=36 then the value x^(3)+y^(3)+z^(3) divisible by prime number is

Let A=[(0, 2y,z),(x,y,-z),(x,-y,z)] such that A^(T)A=I , then the value of x^(2)+y^(2)+z^(2) is

If x = 2a- 1, y = (2a - 2) and z =3 - 4a, then the value of x ^(3) + y ^(3) + z ^(3) will be :