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Definite Integration question

2021 · 1 Sep · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 1 Sep · Shift 2 · Q30

Definite Integration question

2021 · 1 Sep · Shift 2 · Q30

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

{J_{n,m}} = \int\limits_0^{{1 \over 2}} {{{{x^n}} \over {{x^m} - 1}}dx}

,

\forall

n > m and n, m

\in

N. Consider a matrix

A = {[{a_{ij}}]_{3 \times 3}}

where

{a_{ij}} = \left\{ {\begin{matrix} {{j_{6 + i,3}} - {j_{i + 3,3}},} & {i \le j} \\ {0,} & {i \gt j} \\ \end{matrix} } \right.

. Then

\left| {adj{A^{ - 1}}} \right|

is :

A
(15)2 $\times$ 242
B
(15)2 $\times$ 234
C
(105)2 $\times$ 238
D
(105)2 $\times$ 236

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