WBJEE · Maths · Determinants
\(\left|\begin{array}{ccc}x & 3 x+2 & 2 x-1 \\ 2 x-1 & 4 x & 3 x+1 \\ 7 x-2 & 17 x+6 & 12 x-1\end{array}\right|=0\) is true for
- A only one value of \(x\)
- B only two values of \(x\)
- C only three values of \(x\)
- D infinitely many values of \(x\)
Answer & Solution
Correct Answer
(D) infinitely many values of \(x\)
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ccc}x & 3 x+2 & 2 x-1 \\ 2 x-1 & 4 x & 3 x+1 \\ 7 x-2 & 17 x+6 & 12 x-1\end{array}\right|=0\) \(\mathrm{R}_{3} \rightarrow \mathrm{R}_{3}-3 \mathrm{R}_{1}-2 \mathrm{R}_{2}\)…
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