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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 January 2020, Shift 1, Maths Q59

Question 59 of 75 in this shift, Maths question 9 of 25, Section A.

If c is a point at which Rolle's theorem holds for the function,

f(x)=\log_e\left(\dfrac{x^2+\alpha}{7x}\right)

in the interval

[3,4]

, where

\alpha\in\mathbf{R}

, then

f''(c)

is equal to :

(1) $\frac{\sqrt{3}}{7}$
(2) $\frac{1}{12}$ Official answer
(3) $-\frac{1}{24}$
(4) $-\frac{1}{12}$

Official answer

Option 2

NTA final key (Jan 2020).

Chapter: Continuity and Differentiability
Topic: Rolle's Theorem
Idea tested: Logarithmic Function Application

Same topic in other shifts

All Rolle's Theorem questions

28 Jul 2022, Shift 1 · Q23Let $f:[0,1]\to\mathbf{R}$ be a twice differentiable function in $(0,1)$ such that $f(0)=3$ and $f(1)=5$ . If the line $y=2x+3$ intersects…MediumNumerical value

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.