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GUJCET · Maths · Determinants
If \(\left|\begin{array}{ll}2017 & 2018 \\ 2019 & 2020\end{array}\right|+\left|\begin{array}{ll}2021 & 2022 \\ 2023 & 2024\end{array}\right|=2 k\), then \(k ^3=\) ________
- A 8
- B -8
- C 0
- D -64
Answer & Solution
Correct Answer
(B) -8
Step-by-step Solution
Detailed explanation
\(\left|\begin{array}{ll}2017 & 2018 \\ 2019 & 2020\end{array}\right|\) \(= (2017)(2020) - (2018)(2019) = 4074340 - 4074342 = -2\) \(\left|\begin{array}{ll}2021 & 2022 \\ 2023 & 2024\end{array}\right|\) \(= (2021)(2024) - (2022)(2023) = 4096504 - 4096506 = -2\)
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