JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 1st September Evening Shift
Question
Let , n > m and n, m N. Consider a matrix where {a_{ij}} = \left\{ {\matrix{
{{j_{6 + i,3}} - {j_{i + 3,3}},} & {i \le j} \cr
{0,} & {i > j} \cr
} } \right.. Then is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C(105)2 238
Step-by-step explanation
A = \left[ {\matrix{
{a_{11}} & {a_{12}} & {a_{13}} \cr
{{a_{21}}} & {{a_{22}}} & {{a_{23}}} \cr
{{a_{31}}} & {{a_{32}}} & {{a_{33}}} \cr
} } \right]
A = \left[ {\matrix{ {{1 \over {{{5.2}^5}}}} & {{1 \over {{{5.2}^5}}}} & {{1 \over {{{5.2}^5}}}} \cr 0 & {{1 \over {{{6.2}^6}}}} & {{1 \over {{{6.2}^6}}}} \cr 0 & 0 & {{1 \over {{{7.2}^7}}}} \cr } } \right]
=
A = \left[ {\matrix{ {{1 \over {{{5.2}^5}}}} & {{1 \over {{{5.2}^5}}}} & {{1 \over {{{5.2}^5}}}} \cr 0 & {{1 \over {{{6.2}^6}}}} & {{1 \over {{{6.2}^6}}}} \cr 0 & 0 & {{1 \over {{{7.2}^7}}}} \cr } } \right]
=
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, covering the Definite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.