AP EAMCET · Maths · Matrices
If \(a x^4+b x^3+c x^2+50 x+d=\left|\begin{array}{ccc}x^3-14 x^2 & -x & 3 x+\lambda \\ 4 x+1 & 3 x & x-4 \\ -3 & 4 & 0\end{array}\right|\), then find ' \(\lambda\) '.
- A 2
- B –2
- C 1
- D –1
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Coefficient of \(x\) on LHS: \(50\). Coefficient of \(x\) from the determinant of \(\left|\begin{array}{ccc}x^3-14 x^2 & -x & 3 x+\lambda \\ 4 x+1 & 3 x & x-4 \\ -3 & 4 & 0\end{array}\right|\) is derived from: \((x^3-14x^2)(3x \cdot 0 - 4(x-4))\) gives no \(x\) term.…
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