JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If \(\Delta=\left|\begin{array}{ccc}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5 \\ 3 x-5 & 5 x-8 & 10 x-17\end{array}\right|=\) \(Ax ^{3}+ Bx ^{2}+ Cx + D ,\) then \(B + C\) is equal to
- A \(-1\)
- B \(1\)
- C \(-3\)
- D \(9\)
Answer & Solution
Correct Answer
(C) \(-3\)
Step-by-step Solution
Detailed explanation
\(\Delta= \left|\begin{array}{ccc}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5 \\ 3 x-5 & 5 x-8 & 10 x-17\end{array}\right|\) \(=A x^{3}+B x^{2}+C x+D\) \(R_{2} \rightarrow R_{2}-R_{1}\) \(R_{3} \rightarrow R_{3}-R_{2}\)…
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