The system of equations \[\alpha x+y+z=\alpha -1,x+\alpha \,y+z=\alpha -l\] \[x+y+\alpha z=\alpha -1\]has no solution, if \[\alpha \] is
AIEEE Solved Paper-2005
A)1
B)not-2
C)either - 2 or 1
D)- 2
Correct Answer:
D
Solution :
The system of given equations has no solution, if Applying Applying Butmakes above three equations same. So, the system of equation have infinite solution. So, answer isfor which the system of equations has no solution.