If c is a point at which | MAXIMA AND MINIMA | JEE MAIN 2020

Competishun Header

JEE MAIN 2020

08-01-20 S1

Question

If c is a point at which Rolle's theorem holds for the function, $f(x)=\log _e\left(\frac{x^2+\alpha}{7 x}\right)$ in interval $[3,4]$, where $\alpha \in R$, then $f^{\prime \prime}$ (c) is equal to

Select the correct option:

A

$-\frac{1}{24}$

B

$\frac{1}{12}$

C

$\frac{\sqrt{3}}{7}$

D

$-\frac{1}{12}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

QJEE ADVANCE 20062006

Match the following:

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

According to Bohr's theory, $\mathrm{E}_{\mathrm{n}}=$ Total energy $\mathrm{K}_{\mathrm{n}}=$ Kinetic energy $\mathrm{V}_{\mathrm{n}}=$ Potential energy $\mathrm{r}_{\mathrm{n}}=$ Radius of $\mathrm{n}^{\text {th }}$ orbit...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Match the following:

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Match the extraction processes listed in Column I with metals listed in Column II:

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

The edge length of unit cell of a metal having molecular weight $75 \mathrm{~g} / \mathrm{mol}$ is $5 \AA$ which...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

We have taken a saturated solution of $\mathrm{AgBr} . \mathrm{K}_{\text {sp }}$ of AgBr is $12 \times 10^{-14}$. If $10^{-7}$...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 2006 2006

For the reaction, $2 \mathrm{CO}+\mathrm{O}_2 \longrightarrow 2 \mathrm{CO}_2 ; \Delta \mathrm{H}=-560 \mathrm{~kJ}$. Two moles of CO and one mole of...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

75.2 g of $\mathrm{C}_6 \mathrm{H}_5 \mathrm{OH}$ (phenol) is dissolved in a solvent of $\mathrm{K}_{\mathrm{f}}=14$. If the depression in freezing point...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Ammonia is always is added in this reaction. Which of the following must be incorrect?

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

When ammonia is added to the solution, pH is raised to 11 . Which half-cell reaction is affected by pH...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Find $\ln K$ of this reaction.

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

A nuclear explosion has taken place leading to increase in concentration of $C^{14}$ in nearby areas. $C^{14}$ concentration is $C_1$...

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

What should be the age of fossil for meaningful determination of its age?

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Which of the following option is correct?

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

The hybridization of A and B are

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

Predict the magnetic nature of A and B .

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

The IUPAC name of $A$ and $B$ are

JEE AdvanceChemistryEasy

View Solution→

QJEE ADVANCE 20062006

What are the constituent amines formed when the mixture of (i) and (ii) undergoes Hofmann bromamide degradation?

JEE AdvanceChemistryEasy

View Solution→