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 \[\left| \begin{matrix} 1 & 2 & 3 \\ 2 & x & 3 \\ 3 & 4 & 5 \\ \end{matrix}\, \right|=0,\]then x = [Karnataka CET 1994]
A)- 5/2
B)-2/5
C)5/2
D)2/5
Correct Answer:
C
Solution :
Since \[x=\frac{5}{2}\] satisfies the given determinant.