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Given set A = {1,2,3}, then the relation...

Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is reflexive. (True/False)

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Relation given by 'R={(1,1),(2,2),(2,1)} is :

The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2), (2, 1), (3, 3)} is reflexive, symmetric and transitive.

Is the relation R = (1,1), (2,2), (3,3) transitive on the set A = (1,2,3)?

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

State is it reflexive A ={1,2,3} R= { (1,1) , (2,2 ), ( 3,3)}

Let A = {1, 2, 3}, then number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is (a) 1, (b) 2, (c) 3, (d) 4 .

If R = {(1,-1),(2,-2),(3,-1)} is a relation, then find the range of R.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} defined as R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Give examples of two one-one function f1 and f2 from R to R such that ...

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  2. Show that if f1 and f2 are one-one maps from r to R, then the product....

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  3. Lert f : X rarr Y be such that fof = f. Show that f is onto if and onl...

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  4. Consider the identity function IN : N rarr N defined as IN (x) = x, fo...

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  5. Find fof^-1 and f^-1 of for the function: f(x) = 1/x, x ne0, also prov...

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  6. Show that the number of binary operations on {1, 2} having 1 as identi...

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  7. Determine whether the following binary operation on the set N is assoc...

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  8. Determine , whether the following binary operation on the set N is ass...

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  9. Consider the binary operation: R xx R rarr R defined as : a** b = |...

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  10. Define a binary operation * on the set A = {0,1,2,3,4,5}, given by a *...

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  11. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

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  12. Give an example of a relation which is symmetric and transitive but no...

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  13. A bijective function is both one-one and onto. (True/False)

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  14. What is the domain of the function f(x) = 1/(x-2)

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  15. If f(x) = {:{(x-2, x<2),(3,x=2),(x+2, x>3):} then, find f(8)

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  16. If a*b = 3a + 4b, then the value of 3*4 is ……….

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  17. If a*b = a/2 + b/3, then the value of 2*3 is …………

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  18. Let A {1,2,3}, for x,y,inA, let R let xRy if and only if x>y. Write d...

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  19. Is -a the inverse of a inN for addition '+' on N?

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  20. Show that 1/a is not the inverse of a in N for multiplication operatio...

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