Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Sets and Relations question

2025 · 3 Apr · Shift 1 · Q30
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Sets and Relations
  5. /2025 · 3 Apr · Shift 1 · Q30

Sets and Relations question

2025 · 3 Apr · Shift 1 · Q30

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let A={−3,−2,−1,0,1,2,3}\mathrm{A}=\{-3,-2,-1,0,1,2,3\}A={−3,−2,−1,0,1,2,3}. Let R be a relation on A defined by xRyx \mathrm{R} yxRy if and only if 0≤x2+2y≤40 \leq x^2+2 y \leq 40≤x2+2y≤4. Let lll be the number of elements in R and mmm be the minimum number of elements required to be added in R to make it a reflexive relation. Then l+ml+ml+m is equal to
  1. A
    18
  2. B
    20
  3. C
    17
  4. D
    19
PreviousNext

More from Sets and Relations

  • Let A={−2,−1,0,1,2,3}. Let R be a relation on A defined by xRy if and only if y=max{x,1}. Let 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…2025 · MCQ
  • Consider the sets A={(x,y)∈R×R:x2+y2=25},B={(x,y)∈R×R:x2+9y2=144}, C={(x,y)∈Z×Z:x2+y2≤4}…2025 · MCQ
  • Let A={−3,−2,−1,0,1,2,3} and R be a relation on A defined by xRy if and only if 2x−y∈{0,1}. Let l be the number of elements in R. Let m and n be the minimum number of elements required to be added…2025 · MCQ
  • The number of relations on the set A={1,2,3}, containing at most 6 elements including (1,2), which are reflexive and transitive but not symmetric, is ​.2025 · Numerical
  • For n≥2, let Sn​ denote the set of all subsets of {1,2,…,n} with no two consecutive numbers. For example {1,3,5}∈S6​, but {1,2,4}∈/S6​. Then n(S5​) is equal to ​2025 · Numerical
  • Let A = { (α,β) ∈R×R : |α- 1|≤4 and |β- 5|≤6 } and B = { (α,β) ∈R×R : 16(α-2)2+ 9(β-6)2≤144 }. Then2025 · MCQ
  • 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 statements (S1): The number of elements in R is 18, and (S2): The relation R is symmetric but neither reflexive…2025 · MCQ
  • Let A={1,2,3,…,10} and B={nm​:m,n∈A,m<n and gcd(m,n)=1}. Then n(B) is equal to :2025 · MCQ