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For x,y in R define a relation R by x R ...

For x,y `in` R define a relation R by x R y if and only if x-y +`sqrt(2)` is an irrational number .Then R is

A

an equivalence relation

B

symmetric

C

transitive

D

reflexive but not symmetric & transitive

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The correct Answer is:
D
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AAKASH SERIES-SETS AND RELATIONS -PRACTICE EXERCISE
  1. For x,y in R define a relation R by x R y if and only if x-y +sqrt(2) ...

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  2. Number of subsets of the set A={1,2,3,4} is…………..

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  3. The smallest A such that A cup {1,2} = {1,2,3,5,9} is

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  4. If n(A)=10,n(B)=6 and n( C )=5 for three disjoint sets A, B, C then n(...

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  5. If A={1,2,3,4,5},B ={p,q,r,s} then n(A xxB ) =

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  6. If A={0,1},B={1,2},C={2,3} then (A xx B)nn(A xx C)=

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  7. If aN = {ax : x in N} " then " 3N cap 7N =

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  8. A = {(x,y) : y = 1//x,0 ne x in R} , B = {(x, y) : y = - x, x in R} th...

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  9. If X = {4^(n) - 3n - 1: n in N} " and " Y = {9(n-1): n in N}, where N ...

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  10. Let A={(x,y)//y=e^(x),x in R},B={(x,y)//y=e^(-x),x in R}, then

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  11. The set A={x:x in R,x^(2)=16," and "2x=6} equals

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  12. Let A and B be two sets such that A xx B has 6 elements. If three elem...

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  13. In a class of 70 students takes either Sanskrit or Hindi. 40 take Sans...

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  14. In a city, three daily newspapers A, B, C are published. 42% of the pe...

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  15. Each student in a class of 40, studies at least one of the subjects En...

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  16. An investigator interviewed 100 students to determine their preference...

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  17. A={a, b, c},B={1,2} then the number of relations from A to B is

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  18. A group of 123 workers went to a canteen for cool drinks, ice - cream ...

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  19. Let L denote the set of all straight lines in a plane. Let a Relation ...

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  20. On the set of integers Z, relation R is defined as ''mRn iff m is a mu...

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  21. If A={a, b, c, d}, then a relation R={(a,b),(b,a),(a,a)} on A is

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