TS EAMCET · Maths · Determinants
If \(A(x)=\left|\begin{array}{ccc}1 & 2 & 3 \\ x+1 & 2 x+1 & 3 x+1 \\ x^2+1 & 2 x^2+1 & 3 x^2+1\end{array}\right|\),
then \(\int_0^1 A(x) d x\) equals
- A 0
- B 1
- C 2
- D 4
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
\(A(x)=\left|\begin{array}{ccc}1 & 2 & 3 \\ x+1 & 2 x+1 & 3 x+1 \\ x^2+1 & 2 x^2+1 & 3 x^2+1\end{array}\right|\) Apply \(C_2 \rightarrow C_2-C_1, C_3 \rightarrow C_3-C_2\), we get…
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