Let … be a 3 … 3 matrix, where … 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:

Option D. …A = \left[ {\matrix{ 1 & { - x} & {2x + 1} \cr { - x} & 1 & { - x} \cr {2x + 1} & { - x} & 1 \cr

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Application of Derivatives

JEE Main 2021 · 20 Jul, Morning shift · Q2655

MathematicsMedium175×since 2002Q2655

Let

A = [{a_{ij}}]

be a 3

\times

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

\to

R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:

Application of Derivatives — JEE Main 2021 · 20 Jul, Morning shift · Q2655 · Alror