Self Studies

Relations and F...

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  • Question 1
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    Let R be a relation on set A of triangles in a plane.

    R = {(T1 , T2 ) : T1 , T2 element of A and T1 is congruent to T2 } Then the relation R is______ ​

     

  • Question 2
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    Which one of the following relations on set of real numbers is an equivalence relation?

     

  • Question 3
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    Let C = {(a, b): a2  + b2  = 1; a, b  ∈ R} a relation on R, set of real numbers. Then C is ​

     

  • Question 4
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    Let A = {1, 2, 3, 4} and B = {x, y, z}. Then R = {(1, x), (2, z), (1, y), (3, x)} is ​

     

  • Question 5
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    Let R be a relation on N, set of natural numbers such that m R n  ⇔ m divides n. Then R is ​

     

  • Question 6
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    If R be a relation “less than” from set A = {1, 2, 3, 4} to B = {1, 3, 5}, i.e. (a, b) ∈ R if a < b, if (b, a) ∈ R-1elements in R-1 are​

     

  • Question 7
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    Let R be a relation on a finite set A having n elements. Then, the number of relations on A is ​

     

  • Question 8
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    Let R be a relation on N (set of natural numbers) such that (m, n) R (p, q) mq(n + p) = np(m + q). Then, R is ​

     

  • Question 9
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    A situation in which significant power is distributed among three or more states is known as what?

     

  • Question 10
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    Let R be an equivalence relation on Z, the set of integers.

    R = {(a, b): a,b ∈Z and a –b is a multiple of 3} The Equivalence class of [1] is ​

     

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