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Let T be the set of all triangles in the...

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as a R b if a is congruent to b `forall` a,b `in` T. Then R is

A

reflexive but not transitive

B

transitive but not symmetric

C

equivalence

D

none of these

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. Consider the set A = (1,2). Which of the following relations on A is s...

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  2. Let A be a finite set containing n distinct elements. The number of re...

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  3. Let T be the set of all triangles in the Euclidean plane, and let a re...

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

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  5. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then ...

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  6. Let R be a relation defined by R = {(a, b) : a ge b}, where a and b a...

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  7. Let R be the relation defined on the set N of natural numbers by the r...

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  8. Let A = (a,b,c) and R = (a,a), (b,b), (c,c), (b,c), (a,b) be a relatio...

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

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

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  11. Let A = (1,2,3) and R = (1,1), (2,2), (1,2), (2,1), (1,3) then R is

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  12. Let A = {1, 2, 3}, which of the following is not an equivalence relati...

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  13. Let R be a relation on the set N of natural numbers defined by n R m i...

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  14. Let A = (1,2,3). Which of the following relations is a function from A...

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  15. Let A = (1,2,3) and B = (2,3,4), then which of the following is a func...

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  16. Let A be a finite set containing n distinct elements. The number of fu...

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  17. If the set A contains 5 elements and the set B contains 6 elements, th...

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  18. Set A has 3 elements and the set B has 4 elements. Then the number of ...

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  19. Let N be the set of natural numbers and the function f:N to N be defin...

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  20. Let f : R rarr R be defined by f(x) = 1/x AA x inR, then f is

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