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Let A = {1, 2, 3, 4, 5, 6}. Define a rel...

Let `A = {1, 2, 3, 4, 5, 6}`. Define a relation R from A to A by `R = {(x , y) : y = x +1}`(i) Depict this relation using an arrow diagram.(ii) Write down the domain, co-domain and range of R.

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To solve the given problem step by step, we will follow the instructions provided in the question. ### Step 1: Define the Relation R We are given a set \( A = \{1, 2, 3, 4, 5, 6\} \) and a relation \( R \) defined by the rule \( R = \{(x, y) : y = x + 1\} \). ### Step 2: Find the Roaster Form of Relation R To express the relation in roaster form, we will find all pairs \( (x, y) \) such that \( y = x + 1 \) for \( x \) in set \( A \). ...
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NCERT-RELATIONS AND FUNCTIONS-SOLVED EXAMPLES
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  8. Let R be the set of real numbers. Define the real function f : R ->Rb...

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  9. If (x + 1, y - 2) = (3, -1), find the values of x and y.

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  12. If R is the set of all real numbers, what do the cartesian products R...

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  13. If P = {1, 2}form the set P xxP xxP.

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  14. The function f is defined by f(x) ={[1-x \ x<0], [1 \ \ \ \ \ \ \ \ ...

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  15. Find the domain of the function f(x) =(x^2-3x+5)/(x^2-5x+4).

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  16. Let f = {(1, 2), (2, 3), (0, -1), ( -1, -3)} be a linear function ...

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  17. If A xxB = {(p , q), (p , r), (m , q), (m , r)}, find A and B.

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  18. Let A = {1, 2, 3, 4, 5, 6}. Define a relation R from A to A by R = {(x...

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  19. The Fig 2.6 shows a relation between the sets P and Q. Write this rel...

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