Let A=[a_ ij ] be a 3×3 matrix, where a_ ij = cases 1, & if i=j -x, & if |i-j|=1 2x+1, & otherwise cases ....

Question

Let A=[a_ ij ] be a 3×3 matrix, where a_ ij = cases 1, & if i=j -x, & if |i-j|=1 2x+1, & otherwise cases . 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 -

Accepted Answer

(D)

JEE Main 2021 Mathematics question

Solution