JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 30
question_answer
If a system of the equation \[{{(\alpha +1)}^{3}}x+{{(\alpha +2)}^{3}}y-{{(\alpha +3)}^{3}}z=0,\] \[(\alpha +1)x+(\alpha +2)y-(\alpha +3)z=0\]and\[x+y-z=0\]x + y - z = 0 has infinitely many solutions, then what is the value of a?
A)1
B)0
C)-3
D)-2
Correct Answer:
D
Solution :
[d]: For infinitely many solutions, \[\left| A \right|=0\] i.e.. \[\Rightarrow \]\[6\alpha +12=0\Rightarrow \alpha =-2\].