If x, y, z are real and distinct, then `x^(2) + 4 y^(2) + x + 1 = 0`, is

If x, y and z are real and distinct, then x^(2)+9y^(2)+16z^(2)-3xy-12yz-4zx is always

If x, y and z are real and distinct, then x^(2)+9y^(2)+16z^(2)-3xy-12yz-4zx is always

If x,y,z, are real and distinct number, then the value of ((x-y)^3+(y-z)^3+(z-x)^2)/((x-y)(y-z)(z-y)) is

If x, y, z are all distinct and |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(3))|=0 then value of x y z is :