JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 1, Maths Q60

Question 60 of 75 in this shift, Maths question 10 of 25.

Let

f(x) = |x-2|

and

g(x) = f(f(x))

x \in [0, 4]

. Then

\int_0^3 (g(x) - f(x))\,\mathrm{d}x

is equal to :

(1) $0$
(2) $\frac{1}{2}$
(3) $1$ Official answer
(4) $\frac{3}{2}$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Geometric Area for Piecewise Linear Integrals

Same topic in other shifts

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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.