If `x/((2x+y+z))=y/((x+2y+z))=z/((x+y+2z))=a` , then find `a` if `x+y+z!=0` . (a)`1/3` (b) `1/4` (c) `1/2` (d) `1/8`

8x + y + 2z = 4x + 2y + z = 1x + y + z = 2

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2) + (z+y-x-4)^(2)=0 find x+ y+z =?

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 .

2x+y+z=1x-y+2z=-1,3x+2y-z=4

x+y+z=4 2x-y+z=-1 2x+y-3z=-9

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) Whgat is the value D(1, 2, C(0, 1, 2)) ?

2x+y-z=1 x-y+z=2 3x+y-2z=-1