CUET · MATHS · PYQ PAPER 2025
The value of \(\left|\begin{array}{ccc}x & x+y & x+y+z \\ 2 x & 3 x+2 y & 4 x+3 y+2 z \\ 3 x & 6 x+3 y & 10 x+6 y+3 z\end{array}\right|\) is
- A 0
- B \(x\)
- C \(x^2\)
- D \(x^3\)
Answer & Solution
Correct Answer
(D) \(x^3\)
Step-by-step Solution
Detailed explanation
\( R_2 \to R_2 - 2R_1, R_3 \to R_3 - 3R_1 \) \( \left|\begin{array}{ccc}x & x+y & x+y+z \\ 0 & x & 2x+y \\ 0 & 3x & 7x+3y\end{array}\right| \) \( R_3 \to R_3 - 3R_2 \) \( \left|\begin{array}{ccc}x & x+y & x+y+z \\ 0 & x & 2x+y \\ 0 & 0 & x\end{array}\right| \)…
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