Competishun Header

Report Issue

JEE Advance2022
Paper-2
Question
Consider the functions $f, g: \mathbb{R} \rightarrow \mathbb{R}$ defined by $$ f(x)=x^{\circ}+{ }_{12}^5 \text { and } g(x)=\left\{\begin{array}{cc} \left\{\left(1-\frac{4|x|}{0-1}\right)\right. & 3 \\ 0, & |x|>\frac{3}{4} \end{array} .\right. $$ If $\alpha$ is the area of the region $$ \left\{(\mathrm{x}, \mathrm{y}) \in \mathbb{R} \times \mathbb{R}:|\mathrm{x}| \leq \frac{5}{4}, 0 \leq \mathrm{y} \leq \min \{f(\mathrm{x}), g(\mathrm{x})\}\right\}, $$ then the value of $9 \alpha$ is $\_\_\_\_$ .
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Advance
Mathematics
Easy
Start Preparing for JEE with Competishun
Video Solution
BY competishun
Video Solution
Watch Solution
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which of the following molecules does not show stereo isomerism ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Given below are two statements :
Statement-I : α and β forms of sulphur can change reversibly between themselves with...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
Which one of the following statements is not true about enzymes ?
JEE MainChemistryEasy
View Solution→
Q JEE MAIN 20212021
The solubility product of $\mathrm{Pbl}_2$ is $8.0 \times 10^{-9}$. The solubility of lead iodide in 0.1 molar solution of lead...
JEE MainChemistryHard
View Solution→
QJEE MAIN 20222022
In Carius method of estimation of halogen. 0.45 g of an organic compound gave 0.36 g of AgBr. Find out...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20232023
The number of units, which are used to express concentration of solutions from the following is _______.
Mass percent,...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
250 g solution of D-glucose in water contains 10.8% of carbon by weight. The molality of the solution is nearest...
JEE MainChemistryHard
View Solution→
QJEE MAIN 2019 2019
A compound ' $X$ ' on treatment with $\mathrm{Br}_2 / \mathrm{NaOH}$, provided $\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}$, which gives positive carbylamine test....
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20232023
In the following reaction, 'A' is
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which one of the following reactions does not occur ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
The major products A and B formed in the following reaction sequence are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Correct statement about the given chemical reaction is :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following...
JEE MainChemistryEasy
View Solution→
QJEE-MAIN 20202020
Three isomers A. B and C (mol. formula $\mathrm{C}_2 \mathrm{H}_7, \mathrm{~N}$ ) give the following results
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
In the chemical reactions given above A and B respectively are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2019 2019
Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
Stability of $\alpha$ - Helix structure of proteins depends upon
JEE MainChemistryEasy
View Solution→