If x, y, z are real such that `x+y+z=4`,`x^2 + y^2 +z^2 = 6`, then x `in` 1) `(-1,1)` 2) `[0, 2]` 3)` [2,3]` 4)`[2/3,2]`

If x,y,z are real such that x+y+z=4x^(2)+y^(2)+z^(2)=6, then x in1)(-1,1) 2) [0,2] 3) [2,3] 4) [(2)/(3),2]

If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2) +z^(2) =6 ,then (1) 2/3 le x,y,z le 2 (2) 0 le x,y,z le 2 (3) 1 le x,y,z le 3 (4) 2 le x,y,z le 3

If x,y,z are three real numbers such that x+ y +z =4 and x^(2) + y^(2) +z^(2) =6 ,then (1) 2/3 le x,y,z le 2 (2) 0 le x,y,z le 2 (3) 1 le x,y,z le 3 (4) 2 le x,y,z le 3

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

If x!=y!=z and |x x^2 1+x^3 y y^2 1+y^3 z z^2 1+z^3|=0 , then prove that x y z=-1 .

Prove that |[x,y,z] , [x^2, y^2, z^2] , [yz, zx, xy]| = |[1,1,1] , [x^2, y^2, z^2] , [x^3, y^3, z^3]|

If x,y and z are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6 ,then show that each of x,y and z lie in the closed interval [2/3,2]

If x,y and z are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6 ,then show that each of x,y and z lie in the closed interval [2/3,2]

If x,y and z are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6 ,then show that each of x,y and z lie in the closed interval [2/3,2]

If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[z, z^2, 1+z^3]|=0 then show that 1+xyz=0