A) 0
B) 1
C) 100
D) \[-100\]
E) \[-1\]
Correct Answer: A
Solution :
\[\because \]\[f(x)=\] \[\left| \begin{matrix} 1 & x & x+1 \\ 2x & x(x-1) & (x+1)x \\ 3x(x-1) & x(x-1)(x-2) & (x+1)x(x-1) \\ \end{matrix} \right|\] Now, \[f(100)=\left| \begin{matrix} 1 & 100 & 101 \\ 200 & 9900 & 10100 \\ 29700 & 970200 & 999900 \\ \end{matrix} \right|\] \[=\left| \begin{matrix} 1 & 100 & 1 \\ 200 & 9900 & 200 \\ 29700 & 970200 & 29700 \\ \end{matrix} \right|{{C}_{3}}\to {{C}_{3}}-{{C}_{2}}\] \[=0\]
You need to login to perform this action.
You will be redirected in
3 sec
