CUET · MATHS · PYQ PAPER 2025
The minimum value of \(\left|\begin{array}{ccc}2 & 2 & 2 \\ 2 & 2+x & 2 \\ 2 & 2 & 2+x\end{array}\right|, x \in R\) is
- A 1
- B -2
- C 0
- D \(-\frac{1}{2}\)
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
\( D = \left| \begin{array}{ccc} 2 & 2 & 2 \\ 2 & 2+x & 2 \\ 2 & 2 & 2+x \end{array} \right| \) \( R_2 \to R_2 - R_1, R_3 \to R_3 - R_1 \) \( D = \left| \begin{array}{ccc} 2 & 2 & 2 \\ 0 & x & 0 \\ 0 & 0 & x \end{array} \right| \) \( D = 2 \cdot x \cdot x = 2x^2 \) Minimum value…
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