Let f (x) = | array ccc 1 / x & ~h x & x ^ n 1 & -1 / n & (-1)^ n 1 & a & a ^ 2 array | …
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let f (x) = \[\left|\begin{array}{ccc}
1 / \mathrm{x} & \mathrm{~h} \mathrm{x} & \mathrm{x}^{\mathrm{n}} \\
1 & -1 / \mathrm{n} & (-1)^{\mathrm{n}} \\
1 & \mathrm{a} & \mathrm{a}^{2}
\end{array}\right|\], then \(\frac{d^{n}}{d^{n}}\) f (x) at x = 1 is
- independent of a
- independent of n
- independent of a and n
- zero
Answer
(A) independent of a, (B) independent of n, (C) independent of a and n, (D) zero
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