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Mathematics
| beginmatrix x-2 2x-3 3x-4 x-4 2x-9 3x-16 x-8 2x-27 3x-64 endmatrix |=0, then x is equal to:
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Q. $ \left| \begin{matrix} x-2 & 2x-3 & 3x-4 \\ x-4 & 2x-9 & 3x-16 \\ x-8 & 2x-27 & 3x-64 \\ \end{matrix} \right|=0, $ then $ x $ is equal to:
KEAM
KEAM 2004
A
$ -2 $
B
3
C
$ -4 $
D
4
E
0
Solution:
$ \left| \begin{matrix} x-2 & 2x-3 & 3x-4 \\ x-4 & 2x-9 & 3x-16 \\ x-8 & 2x-27 & 3x-64 \\ \end{matrix} \right|=0 $
In the given options only $ x=4 $ satisfy the given determinant.