JEE Main 2024 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 27 January 2024, Shift 1, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

If A denotes the sum of all the coefficients in the expansion of

(1-3x+10x^2)^n

and B denotes the sum of all the coefficients in the expansion of

(1+x^2)^n

, then :

(1) $A=3B$
(2) $A=B^3$ Official answer
(3) $B=A^3$
(4) $3A=B$

Official answer

Option 2

NTA final key.

Chapter: Binomial Theorem
Topic: Binomial Coefficients
Idea tested: Sum of all Coefficients

Same idea in other shifts

Asked 6× in all

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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.