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JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 8 April 2024, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

The value of

k\in\mathbb{N}

for which the integral

I_n=\int_0^1(1-x^k)^n dx

,

n\in\mathbb{N}

, satisfies

147I_{20}=148I_{21}

is

(1) $8$
(2) $10$
(3) $14$
(4) $7$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Reduction Formulae in Definite Integrals

Same idea in other shifts

Asked 2× in all

13 Apr 2023, Shift 2 · Q10The value of…HardSingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.