Let d ∈ R, and A = beginbmatrix -2 & 4+d & (sinθ)-2 \ 1 & (sinθ)+2 & d \ 5 & (2sinθ)-d & (-sinθ)+2+2d endbmatrix, θ ∈ [0, 2π]. If the minimum value of det(A) is 8, then a value of d is

Let d ∈ R, and A = beginbmatrix -2 & 4+d & (sinθ)-2 \ 1 &… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift I

Let

d \in R

, and

A = \begin{bmatrix} -2 & 4+d & (\sin\theta)-2 \\ 1 & (\sin\theta)+2 & d \\ 5 & (2\sin\theta)-d & (-\sin\theta)+2+2d \end{bmatrix}

\theta \in [0, 2\pi]

. If the minimum value of

\det(A)

8

, then a value of

d

Show answer

Correct option: A

[JEE Main 2019 · 10 Jan · Shift I]

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