Mathematics · 2026
JEE Main · 23 January 2026, Shift 1 · Q1
Let A ={-2,-1,0,1,2,3,4}. Let R be a relation on A defined by x R y if and only if 2 x+y ≤ 2. Let l be the number of elements in R. Let m and n be…
Let $\displaystyle \mathrm{A}=\{-2,-1,0,1,2,3,4\}$. Let R be a relation on A defined by $\displaystyle x \mathrm{R} y$ if and only if $\displaystyle 2 x+y \leqslant 2$. Let $\displaystyle l$ be the number of elements in R . Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations respectively. Then $\displaystyle l+\mathrm{m}+\mathrm{n}$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 33$
More from Relations and Functions
- Let for some α ∈ R, f: R → R be a function satisfying f(x+y)=f(x)+2 y^2+y+α x y for all x, y ∈ R. If f(0)=-1 and f(1)=2, then the value of…2026
- For the function f:[1, ∞) →[1, ∞) defined by f(x)=(x-1)^4+1, among the two statements: (I) The set S={x ∈[1, ∞): f(x)=f^-1(x)} contains exactly two…2026
- Let R={(x, y) ∈ N × N: log_e(x+y) ≤ 2}. Then the minimum number of elements, required to be added in R to make it a transitive relation, is ____.2026
- Let A={1,4,7} and B={2,3,8}. Then the number of elements, in the relation R={((a_1, b_1),(a_2, b_2)) ∈((A × B) ×(A × B)): a_1+b_2. divides.a_2+b_1}…2026
- Let A={2,3,4,5,6}. Let R be a relation on the set A × A given by (x, y) R(z, w) if and only if x divides z and y ≤ w. Then the number of elements in…2026
- Let f: R → R be defined as f(x)=(2 x^2-3 x+2)/(3 x^2+x+3). Then f is:2026
- Let f be a polynomial function such that log_2(f(x))=( log_2(2+2/3+2/9+… … ∞)) · log_3(1+(f(x))/(f(1 / x))), x>0 and f(6)=37. Then Σ_n=1^10 f(n) is…2026
- Consider the relation R on the set {-2,-1,0,1,2} defined by (a, b) ∈ R if and only if 1+ab>0. Then, among the statements: I. The number of elements…2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.