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Write the following relations as the set...

Write the following relations as the sets of ordered pairs :
A relation R defined on the set A={2,3,4,5,6} by
`aRbrArr|a-b|` is divisible by 3.

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The correct Answer is:
`R={(2,2),(3,3),(4,4),(5,5),(6,6),(2,5),(5,2),(3,6),(6,3)}`
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CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. Write the following relations as the sets of ordered pairs : A relat...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. 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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  18. 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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  19. If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

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  20. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

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