CUET · MATHS · PYQ PAPER 2023
The value of the determinant \(\left|\begin{array}{ccc}85 & 15 & 30 \\ 1 & 3 & 4 \\ 17 & 3 & 6\end{array}\right|\) is:
- A 2
- B -1
- C 0
- D 1
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
\(R_1 \to R_1 - 5R_3\) \(\left|\begin{array}{ccc}85-5(17) & 15-5(3) & 30-5(6) \\ 1 & 3 & 4 \\ 17 & 3 & 6\end{array}\right| = \left|\begin{array}{ccc}0 & 0 & 0 \\ 1 & 3 & 4 \\ 17 & 3 & 6\end{array}\right|\) \(= 0\)
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