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

2004 · Shift 0 · Q116
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Sets and Relations
  5. /2004 · Shift 0 · Q116

Sets and Relations question

2004 · Shift 0 · Q116

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let R={(1,3),(4,2),(2,4),(2,3),(3,1)}R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2,3,4}A=\{1,2,3,4\}A={1,2,3,4}. The relation RRR is :
  1. A
    a function
  2. B
    transitive
  3. C
    not symmetric
  4. D
    reflexive
Previous

More from Sets and Relations

  • Let A be the set of all functions f:Z→Z and R be a relation on A such that R={(f,g):f(0)=g(1) and f(1)=g(0)}. Then R is :2025 · MCQ
  • Let A={1,2,3,….,100} and R be a relation on A such that R={(a,b):a=2b+1}. Let (a1​, a2​),(a2​,a3​),(a3​,a4​),….,(ak​,ak+1​) be a sequence of…2025 · MCQ
  • Let A={−3,−2,−1,0,1,2,3}. Let R be a relation on A defined by xRy if and only if 0≤x2+2y≤4. Let l be the number of elements in R and m be the minimum number of elements required to be added in R…2025 · MCQ
  • 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