Mathematics · 2020
JEE Main · 3 September 2020, Shift 1 · Q54
If Δ= |x-2, 2 x-3, 3 x-4; 2 x-3, 3 x-4, 4 x-5; 3 x-5, 5 x-8, 10 x-17| = A x^3+ B x^2+ C x+ D, then B + C is equal to:
If $\displaystyle \Delta=\left|\begin{array}{rrr}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5 \\ 3 x-5 & 5 x-8 & 10 x-17\end{array}\right|=$
$\displaystyle \mathrm{A} x^3+\mathrm{B} x^2+\mathrm{C} x+\mathrm{D}$, then $\displaystyle \mathrm{B}+\mathrm{C}$ is equal to :
Official answer
(1)
$\displaystyle -3$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.