If x , y , and z are variables , then x + y + z is a `"________"`.

If x,y,z be variable quantities such that (x+y+z) is constant and (z+x-2y)(x+y-2z) prop yz then show that [2(y+z)-x]propyz .

If x=y^(z), y = z^(x) and z=x^(y) , then

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Statement -1 If x,y,z be real variables satisfying x+y+z=6 and xy+yz+z=8 , the range of variables x,y and z are identical. Statement -2 x+y+z=6 and xy+yz+zx=8 remains same if x,y,z interchange their positions.

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z