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JEE Main 2020 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 3 September 2020, Shift 1, Maths Q54

Question 54 of 75 in this shift, Maths question 4 of 25.

If

\Delta=\begin{vmatrix}x-2&2x-3&3x-4\\2x-3&3x-4&4x-5\\3x-5&5x-8&10x-17\end{vmatrix}=Ax^3+Bx^2+Cx+D

, then

B+C

is equal to :

(1) $-3$ Official answer
(2) $-1$
(3) $1$
(4) $9$

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Determinants
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.