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Let us define a relation R in R as aRb i...

Let us define a relation R in R as aRb if `a geb` . Then, R is .......

A

an equivalence relation

B

reflexive , Transitive but not symmetric

C

symmetric , transitive but not reflexive

D

neither transitive nor reflexive but symmetric .

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. Let T be set of all triangle in the Euclidean plane , and let a relati...

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  2. Consider the non-empty set consisting of children in a family and a re...

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  3. The maximum number of equivalence relations on the set A = {1,2,3} ar...

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  4. If the relation R on the set {1,2,3} be defined by R = {(1,2)}. Then...

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  5. Let us define a relation R in R as aRb if a geb . Then, R is .......

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  6. If A = {1,2,3} and consider the relation R = {(1,1), (2,2) , (3,3) , ...

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  7. The identity element for the binary operation ** defined on Q ~ {0} a...

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  8. If the set A contains 5 elements and the set B contains 6 elements , t...

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  9. If A= {1,2,3...,n} and B ={ a,b} Then , the number of subjection fr...

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  10. If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is ...

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  11. Let f: R rarr R be defined by f(x) = 3x^(2) - 5 and g : R rarr R, g(x...

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  12. Which of the following functions from Z into Z are bijections ?

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  13. If f : RrarrR be the functions defined by f(x) = x^(3) + 5 , then f^...

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  14. If f : A rarr B and g : B rarr C be the bijective functions , then (go...

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  15. If f:R-{3/5} rarr R be defined by f(x) = (3x+2)/(5x-3) , then ..........

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  16. If f:[0,1] rarr [0,1] be difined by f(x) = {(x," if x is rational"),...

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  17. If f: [(2,oo) rarr R be the function defined by f(x) =x^(2) - 4x +5, t...

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  18. If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q ra...

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  19. f : R rarr R , f(x) ={{:(2x,xgt3),(x^2,1ltxle3),(3x,xle1):} then find...

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  20. If f : R rarr R be given by f(x) = tan x , then f^(-1)(1) is .......

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