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
The roots of the determinant equation (in x) \[\left| \,\begin{matrix} a & a & x \\ m & m & m \\ b & x & b \\ \end{matrix}\, \right|=0\] [EAMCET 1993]
A)\[x=a,b\]
B)\[x=-a,-b\]
C)\[x=-a,b\]
D)\[x=a,-b\]
Correct Answer:
A
Solution :
Obviously, the determinant is satisfied for\[x=a,b\].