CUET · MATHS · PYQ PAPER 2025
If \(f(x)=\left|\begin{array}{ccc}0 & x-1 & x-2 \\ x+1 & 0 & x-3 \\ x+2 & x+3 & 0\end{array}\right|\), then the value of f(0) is equal to:
- A -1
- B 1
- C -2
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\(f(0)=\left|\begin{array}{ccc}0 & 0-1 & 0-2 \\ 0+1 & 0 & 0-3 \\ 0+2 & 0+3 & 0\end{array}\right|=\left|\begin{array}{ccc}0 & -1 & -2 \\ 1 & 0 & -3 \\ 2 & 3 & 0\end{array}\right|\) \(f(0) = 0(0 - (-9)) - (-1)(0 - (-6)) + (-2)(3 - 0)\) \(f(0) = 0(9) + 1(6) - 2(3)\)…
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