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Example of an equivalence relation among...

Example of an equivalence relation among the following is

A

is a father of

B

is less than

C

is congruent to

D

is an uncle of

Text Solution

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The correct Answer is:
C
Use the definition of reflexive, symmetric and transitive.
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PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 2
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  2. If a set A has 13 elements and R is a reflexive relation on A with a e...

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  3. Example of an equivalence relation among the following is

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  4. If A={p in N,p is a prime and p=(7n^(2)+3n+3)/(n) for some n in N), th...

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  5. aRb' if a is the father of b. then R is

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  6. Let A be a set of compartments in a train. Then the relation R defined...

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  7. A relation R,NrarrN defined by R={(x,y)//y=x^(2)+1) is

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  8. If R={(a,b)//|a+b|=a+b} is a relation defined on a set (-1,0,1) then R...

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  9. Set builder form of the relation R={(-2, -7),(-1, -4),(0,-1),(1,2),...

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  10. A group of 30 men participate in a sruvey on language skills. The numb...

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  11. In a locality the number of people buying only The Times of India is 8...

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  12. Find the number of subsets of A xx B, if n(A)=2 and n(B)=4 The follo...

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  13. If x=(1,2,3,4,5,6) and A=(1,2,3,4) and B=(3,4,5,6) then find AcapB. Th...

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  14. If A=(1,2) and B=(2,3), then find the number of elements in (AxxB)cap(...

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  15. The number of subsets of {(a),(b,c),d,e) is

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  16. If R={(a,a),(a,c),(b,c),(b,b),(c,c),(a,b)} on the set X=(a,b,c), then ...

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  17. The relation R={(2,3),(1,1),(1,3),(3,1)} on the set A=(1,2,3) is

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  18. Which of the following statement(s) is/are true? (A) Every subset o...

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  19. If A and B are two non empty sets and n(AxxB)=36, then which of the fo...

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  20. If the number of reflexive relations defined on a set A is 64, then th...

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