10 JEE Main 2021 Sets and Relations previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Sets and Relations chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sets and Relations chapter hub.
Let N be the set of natural numbers and a relation R on N be defined by R = x , y ∈ N × N : x 3 - 3 x 2 y -…
Let A = n ∈ N ∣ n 2 ≤ n + 10 , 000 ,   B = 3 k + 1 ∣ k ∈ N and C = 2 k ∣ k …
Let Z be the set of all integers, A = ( x , y ) ∈ Z × Z : ( x − 2 ) 2 + y 2 ≤ 4 B = ( x , y ) &#…
Let A = { n ∈ N : n is a 3 - digit number } B = 9 k + 2 : k ∈ N and C = 9 k + l : k ∈ N for some l 0…
Define a relation R over a class of n × n real matrices A and B as " A R B iff there exists a non-singular matrix…
Let R = { P , Q | P and Q are at the same distance from the origin } be a relation, then the equivalence class of 1 , -…
Out of all the patients in a hospital 89 % are found to be suffering from heart ailment and 98 % are suffering from lun…
In a school, there are three types of games to be played. Some of the students play two types of games, but none play a…
Let A = 2 , 3 , 4 , 5 , … . , 30 and ' ≃ ' be an equivalence relation on A × A , defined by a , b W…
Which of the following is not correct for relation R on the set of real numbers?