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Write the following relations as the set...

Write the following relations as the sets of ordered pairs :
A relation R on the set A of first six natural numbers defined by,
`(x,y) in R rArrx` is relatively prime to y.

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The correct Answer is:
`R={(2,3),(3,2),(3,4),(4,3),(2,5),(5,2),(3,5),(5,3),(4,5),(5,4),(5,6),(6,5)}`
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CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. For any three sets A,B and C prove that, Axx(B-C)=(AxxB)-(AxxC).

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  2. If n(AxxBxxC)=60, n(B) = 4, n( C) = 3, find the value of n(A).

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  3. Write the following relations as the sets of ordered pairs : A relat...

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  4. Write the following relations as the sets of ordered pairs : A relat...

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  5. Write the following relations as the sets of ordered pairs : A relat...

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  6. A relation R on the set of natural numbers NN is defined as follows: R...

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  7. Let A={1,2,3,4,5,6,7,8} and a relation R on A is given by, R={(x,y):...

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  8. Find the domain and range of each of the following relations : R1={(...

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  9. Find the domain and range of each of the following relations : R2={(...

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  10. Find the domain and range of each of the following relations : R3 ={...

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  11. Find the domain and range of each of the following relations : R4= {...

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  12. Find the domain and range of each of the following relations : R5={(...

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  13. Find the domain and range of each of the following relations : R6={(...

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  14. Find the domain and range of each of the following relations : R={(x...

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  15. Find the domain and range of each of the following relations : S={(x...

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  16. A right circular cylinder is inscribed in a sphere of radius r. Expr...

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  17. A right circular cone is inscribed in a sphere of radius a. Express ...

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  18. A rectangle of area y cm^2 is inscribed in a circle of radius 25 cm. I...

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  19. If F(x)=((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b...

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  20. If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

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