TS EAMCET · Maths · Determinants
\(f(x)=\left|\begin{array}{ccc}1 & \text { x } & \text x+1 \\ 2 x & x(x-1) & (x+1) x \\ 3 x(x-1) & x(x-1)(x-2) & (x+1) x(x-1)\end{array}\right|\) then \(f(100)\) is equal to
- A 0
- B 1
- C 100
- D -100
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Given \(f(x)=\left\lvert\, \begin{array}{ccc}1 & x & x+1 \\ 2 x & x(x-1) & (x+1) x \\ 3 x(x-1) & x(x-1)(x-2) & (x+1) x(x-1)\end{array}\right.\) On applying \(C_3 \rightarrow C_3-C_2\), we get…
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