Mathematics · 2021
JEE Main · 17 March 2021, Shift 2 · Q64
If x, y, z are in arithmetic progression with common difference d, x ≠ 3 d, and the determinant of the matrix [3, 4 √ 2, x; 4, 5 √ 2, y; 5, k, z] is…
If $\displaystyle x, y, z$ are in arithmetic progression with common difference $\displaystyle \mathrm{d}, x \neq 3 \mathrm{~d}$, and the determinant of the matrix $\displaystyle \left[\begin{array}{ccc}3 & 4 \sqrt{2} & x \\ 4 & 5 \sqrt{2} & y \\ 5 & \mathrm{k} & z\end{array}\right]$ is zero, then the value of $\displaystyle \mathrm{k}^2$ is :
Official answer
(4)
$\displaystyle 72$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.