JEE Main 2025 — Sets and Relations Questions with Solutions

Let A=\1,2,3\. The number of relations on A, containing (1,2) and (2,3), which are reflexive and transitive but not sym…

Let X=R × R. Define a relation R on X as : (a₁, b₁ ) R (a₂, b₂ ) b₁=b₂ Statement I : R is an equivalence relation. Stat…

Let A=\0,1,2,3,4,5\. Let R be a relation on A defined by (x, y) R if and only if max \x, y \3,4\. Then among the statem…

Let A=\-2,-1,0,1,2,3\. let R be a relation on A defined by x R y if and only if y= \x, 1\. Let l be the number of eleme…

Let A=\1,2,3, …, 10\ and R be a relation on A such that R=\(a, b): a=2 ~b+1\. Let (a₁, a₂ ), (a₂, a₃ ), (a₃, a₄ ), … .,…

The relation R=\(x, y): x, y Z and x+y is even \ is:

Let A=\-3,-2,-1,0,1,2,3, . Let R be a relation on A defined by x R y if and only if 0 ≤ x²+2 y ≤ 4. Let l be the number…

Define a relation R on the interval [0, (π)/(2) ) by x R y if and only if ² x- ² y=1 . Then R is :

Let S= \p₁, p₂ … ., p₁₀ \ be the set of first ten prime numbers. Let A=S P, where P is the set of all possible products…

Let R=\(1,2),(2,3),(3,3)\ be a relation defined on the set \1,2,3,4\. Then the minimum number of elements, needed to be…