The system of equation \(\mathrm{kx}+\mathrm{y}+\mathrm{z}=1,\mathrm{x}+\mathrm{ky}+\mathrm{z}=\mathrm{k}\) and \(\mathr…

The system of equation \(\mathrm{kx}+\mathrm{y}+\mathrm{z}=1,\mathrm{x}+\mathrm{ky}+\mathrm{z}=\mathrm{k}\) and \(\mathrm{x}+\mathrm{y}+\mathrm{zk}={\mathrm{k}}^{2}\) has no solution if k is equal to:

[JEE Main 2021, 17 Mar (Shift 1)]