# Let the numbers 2, b, c be in an A.P. and A = 2 2 11 1 2 4 b c b c é ù ê ú ê ú ë û . If det(A)?[2, 16], then c lies in the interval :

Question:

Let the numbers $2, b, c$ be in an A.P. and

$\mathrm{A}=\left[\begin{array}{ccc}1 & 1 & 1 \\ 2 & b & c \\ 4 & b^{2} & c^{2}\end{array}\right]$. If $\operatorname{det}(\mathrm{A}) ?[2,16]$, then $c$ lies in the interval:

1. $[2,3)$

2. $\left(2+2^{3 / 4}, 4\right)$

3. $[4,6]$

4. $\left[3,2+2^{3 / 4}\right]$

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Matrices and Determinants chapter.
JEE Main Previous Year April 08, 2019 (II)

Solution:

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