Matrix Determinant and Integral Function (Jee M…

Basics and Substitution

Hard

Matrix Determinant and Integral Function

Let $f(x) = \int {\frac{{7{x^{10}} + 9{x^8}}}{{{{(1 + {x^2} + 2{x^9})}^2}}}} dx$ , x > 0, $\mathop {\lim }\limits_{x \to 0} f(x) = 0$ and $f(1) = \frac{1}{4}$ . If $A = \left[ {\begin{array}{*{20}{c}} 0&0&1\\[0.9em] {\frac{1}{4}}&{f'(1)}&1\\[0.9em] {{\alpha ^2}}&4&1 \end{array}} \right]$ and B = adj(adj A) be such that |B| = 81, then α² is equal to

SELECT ONE OPTION

Ask about this question