JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 20th July Morning Shift
Question
Let be a 3 3 matrix, where {a_{ij}} = \left\{ {\matrix{
1 & , & {if\,i = j} \cr
{ - x} & , & {if\,\left| {i - j} \right| = 1} \cr
{2x + 1} & , & {otherwise.} \cr
} } \right.
Let a function f : R R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:
Let a function f : R R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
A = \left[ {\matrix{
1 & { - x} & {2x + 1} \cr
{ - x} & 1 & { - x} \cr
{2x + 1} & { - x} & 1 \cr
} } \right]
Sum
Sum
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