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Matrices and Determinants question

2021 · 27 Aug · Shift 2 · Q24

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JEE Main
Mathematics
Matrices and Determinants
2021 · 27 Aug · Shift 2 · Q24

Matrices and Determinants question

2021 · 27 Aug · Shift 2 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A = \left( {\begin{matrix} {[x + 1]} & {[x + 2]} & {[x + 3]} \\ {[x]} & {[x + 3]} & {[x + 3]} \\ {[x]} & {[x + 2]} & {[x + 4]} \\ \end{matrix} } \right)

, where [t] denotes the greatest integer less than or equal to t. If det(A) = 192, then the set of values of x is the interval :

A
[68, 69)
B
[62, 63)
C
[65, 66)
D
[60, 61)

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