JEE Main & Advanced
Mathematics
Determinants & Matrices
Question Bank
Expansion of determinants, Solution of equation in the form of determinants and properties of determinants
question_answer
If \[\left| \,\begin{matrix} x+1 & 1 & 1 \\ 2 & x+2 & 2 \\ 3 & 3 & x+3 \\ \end{matrix}\, \right|=0,\]then x is [Kerala (Engg.) 2002]
A)0, - 6
B)0, 6
C)6
D)- 6
Correct Answer:
A
Solution :
From options put \[x=0,\,6\] and -6. Then only option (a) is satisfying.