question_answer

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.