Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021 S2
27-07-2021 S2
Question
Let $N$ be the set of natural numbers and a relation $R$ on $N$ be defined by $R=\left\{(x, y) \in N \times N: x^3-3 x^2 y-x y^2+\right. \left.3 y^3=0\right\}$. Then the relation R is :
Select the correct option:
A
symmetric but neither reflexive nor transitive
B
reflexive but neither symmetric nor transitive
C
reflexive and symmetric, but not transitive
D
an equivalence relation
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
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→