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Show that the relation R in the set A of...

Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y): x andy have same number of pages} is an equivalence, relation.

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Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y) : x and y have same number of pages} is an equivalence relation.

Show that the relation R defined in the set A of all polygons as R = {(P1, P2) : P1 and P2 have same number of sides} , is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

Show that the relation R defined in the set A of all polygons as : R = {(P_1, P_2) : P_1 and P_2 have same number of sides} is an equivalence relation.

Show that the relation R defined in the set A of all polygons as R = {(P_1, P_2): P_1 and P_2 have same numbers of sides} is an equivalence relation.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.

Show that each of the relation R in the set A = {x in z : 0 le x le 12} , given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalec relation. Find the set of all elements related to 1 in each case.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that each of the relation R in the set A = {x in Z : 0 le x le 12} , given by: R = {(a, b) : a = b} , is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that relation R in Z of integers given by R = {x,y} : x - y is divisible by 5, x , y inZ } is an equivalence relation.

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OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Show that the relation R in the set A of all the books in a library of...

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  2. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

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  3. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

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  4. Let f:R-R be defined as f(x) = x^4, then (a) f is one-one (b) f is man...

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  5. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

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  6. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  7. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

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  8. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  9. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

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  10. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

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  11. Number of binary operations on the set {a, b} is :

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  12. Let R be the relation in the set {1,2,3,4} given by: R={(1,2),(2,2),...

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  13. Let R be the relation in the set N given by R ={(a,b) : a = b-2, g gt ...

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  14. Let f : R rarr R be defined as f(x) = x^4. Choose the correct answer.

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  15. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

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  16. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

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  17. Let f : R - {-4/3} rarr R be a function defined as f(x) = (4x)/(3x+4)....

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  18. Consider a binary operation '*' on N defined as a xx b =a^(3) + b^(3)....

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  19. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

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  20. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

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  21. Number of binary operations on the set {a, b} is :

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