If = | array ccc e ^ x & x & 1 x & _ e (1+ x ^ 2 ) & 1 x & x ^ 2 & 1 array |= a + bx + cx…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If \[\Delta=\left|\begin{array}{ccc}
\mathrm{e}^{\mathrm{x}} & \sin \mathrm{x} & 1 \\
\cos \mathrm{x} & \log _{\mathrm{e}}\left(1+\mathrm{x}^{2}\right) & 1 \\
\mathrm{x} & \mathrm{x}^{2} & 1
\end{array}\right|=\mathrm{a}+\mathrm{bx}+\mathrm{cx}^{2} \ldots \text { then }\]
- a = 0
- a = 1
- b = –1
- b = –2
Answer
(A) a = 0, (C) b = –1
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