WBJEE · Maths · Determinants
\[
\text { If } f(x)=\begin{array}{|ccc|}
1 & x & x+1\\
2 x & x(x-1) & (x+1)x\\
3 x(x-1) & x(x-1)(x-2) & (x+1)x(x-1)
\end{array}
\] Then, \(f(100)\) is equal to
- A 0
- B 1
- C 100
- D 10
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
We have, \(f(x)= \begin{array}{|ccc|}1 & x &x+1 \\ 2 x & x(x-1) & (x+1)x\\ 3 x(x-1) & x(x-1)(x-2) &(x+1)x(x-1)\end{array}\) Taking common \(x,(x-1)\) from \(R_{2}\) and \(R_{3}\) respectively, we ge…
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