/

Learn

Saturday, 31 October

/

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 13 April 2023, Shift 1, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

For the differentiable function

f : \mathbb{R}-\{0\} \rightarrow \mathbb{R}

, let

3f(x)+2f\left(\frac{1}{x}\right)=\frac{1}{x}-10

, then

\left|f(3)+f'\left(\frac{1}{4}\right)\right|

is equal to

(1) $7$
(2) $\frac{29}{5}$
(3) $\frac{33}{5}$
(4) $13$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Continuity and Differentiability
Topic: Chain Rule
Idea tested: Differentiating Functional Equations

Same idea in other shifts

Asked 2× in all

16 Mar 2021, Shift 2 · Q79Let $f:S\to S$ where $S=(0,\infty)$ be a twice differentiable function such that $f(x+1)=xf(x)$ . If $g:S\to\mathbf R$ be defined as…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 108 of the 174 JEE Main shifts held from 2017 to 2026.