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CBSE Questions for Class 11 Commerce Applied Mathematics Relations Quiz 16 - MCQExams.com

Let R:NN be defined by R={(a,b):a,bN and a=b2} then, which of the following is true? 
  • (a,a)R,aN
  • (a,b)R,(b,a)R
  • (a,b)R,(b,c)R(a,c)R
  • None of the above
Let A be set of first ten natural numbers and R be a relation on A defined by (x , y) R x + 2y = 10 , then domain of R is
  • {1,2,3,............,10}
  • {2,4,6,8}
  • {1,2,3,4}
  • {2,4,6,8,10}
If h={((x,y),(xy,x+y))/x,yϵN} is a relation on NxN, then domain of h

  • $$\left\{ (x,y):\quad x
  • {(x,y):xy,x,yϵN}
  • {(x,y):x>y,x,yϵN}
  • {(x,y):xy,x,yϵN}
If A={x:x23x+2=0}, and R is a universal relation on A, then R is 
  • (1,1),(2,2)
  • (1,1)
  • {ϕ}
  • None of these.
Let R1,R2 are relation defined on Z such that aR1b(ab) is divisible by 3 and aR2b(ab) is divisible by 4. Then which of the two relation (R1R2),(R1R2) is an equivalence relation?
  • (R1R2) Only
  • (R1R2) Only
  • Both (R1R2),(R1R2)
  • Neither (R1R2) nor (R1R2)
Let R1 be a relation defined by 
R1={ (a,b)|a>b,a,bϵR}. Then R1 is
  • an equivalence relation on R
  • reflexive, transitive but not symmetric
  • symmetric, transitive but nor reflective
  • neither transitive nor reflective but symmetric
If a relation { R } on the set { 1,2,3 } be definedby R = { ( 1,2 ) } then { R } is
  • reflexive
  • transitive
  • Symmetric
  • None of these
The relation R defined in N as aRbb is divisible by a is
  • Reflexive but not symmetric
  • Symmetric but not transitive
  • Symmetric and transitive
  • Equivalence relation
If (x22)+(y+3)i=7+4i  then x and y are 
  • ±3and4
  • ±5and4
  • ±3and1
  • None of these
Let T be the set of all triangles in the Euclidean plane, and let a relation R' on T be defined as aRb if a is congruent to b for all a, b T. Then, R is?
  • Reflexive but not symmetric
  • Transitive but not symmetric
  • Equivalence
  • None of these
Let R={(2,3),(3,3),(2,2),(5,5),(2,4),(4,4),(4,3)} be a relation on the set {2,3,4,5}, then
  • R is reflexive and symmetric but not transitive
  • R is reflexive and transitive but not symmetric
  • R is symmetric and transitive but not reflexive
  • R is an equivalence relation
If A={1,2,3,4,5} then
  • The number of relation on A is 225
  • The number of relation on A is 220
  • The number of reflexive relation on A is 2020
  • The number of reflexive relation on A is 215
If A={1,2,4}, B={1,4,6,9} and R is a relation from A to B defined by x is greater than y. The rangle of R is :
  • {1,4,6,9}
  • {4,6,9}
  • {1}
  • none of these
If  g(f(x))=|sinx|  and  g(f(x))=sin2x,  then
  • f(x)=x, g(x)=sin2x
  • f(x)=sinx, g(x)=x2
  • f(x)=sinx, g(x)=x2
  • f(x)=|x|, g(x)=sin2x
If A={1,2,3} then the number of equivalance relation containing the element {1,2} is :
  • 1
  • 2
  • 3
  • 14
Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R ba||b. Then, R is?
  • Reflexive and symmetric but not transitive
  • Reflexive and transitive but not symmetric
  • Symmetric and transitive but not reflexive
  • An equivalence relation
If f(x)=x|x|1+x2 then f1(x) equals
  • x|x|1|x|
  • (Sgnx)x|x|1|x|
  • x1x
  • None of these
From the following relations defined on set Z of integers, which of the relation is not equivalence relation
  • aR1b(a+b) is an even integer
  • aR1b(ab) is an even integer
  • aR3b(a+b)a<b
  • aR4b(a+b)a=b
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