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Mathematics · 2022

JEE Main · 30 June 2022, Shift 1 · Q4

Let A= [1, -2, α; α, 2, -1] and B= [2, α; -1, 2; 4, -5], α ∈ C. Then the absolute value of the sum of all values of α for which det ( AB )=0 is:

Let $\displaystyle A=\left[\begin{array}{rrr}1 & -2 & \alpha \\ \alpha & 2 & -1\end{array}\right]$ and $\displaystyle B=\left[\begin{array}{rr}2 & \alpha \\ -1 & 2 \\ 4 & -5\end{array}\right], \alpha \in \mathbf{C}$. Then the absolute value of the sum of all values of $\displaystyle \alpha$ for which $\displaystyle \operatorname{det}(\mathrm{AB})=0$ is :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.