The set of values of k for which the system of simultaneous equations x + y + kz =1,2 x +2 y =3 and x +2 y +2 kz = k has no real solution is

Step-by-step solution

Given system of equation aligned & x+y+k z=1...(i) & 2 x+2 y=3 ...(ii) & x+2 y+2 k z=k...(iii) aligned has no real solution aligned & | array lll 1 & 1 & ~K 2 & 2 & 0 1 & 2 & 2 ~K array |=0 & 1(4 ~K -0)-1(4 ~K -0)+ K (4-2)=0 & 4 ~K -4 ~K +2 ~K =0 K =0 aligned