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A relation R on the set of natural numbe...

A relation R on the set of natural numbers `NN` is defined as follows: `R={(x,y),x+5y=20,x,y in NN},` find the domain and range of R.

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The correct Answer is:
`R={(15,1),(10,2),(5,3),"Dom".(R)={15,10,5} and "Range " (R)={1,2,3}`
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CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
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  2. Write the following relations as the sets of ordered pairs : A relat...

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

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

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

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

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

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

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

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

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

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

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

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

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  16. 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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  17. 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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  18. If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

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

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  20. If y=f(x) =(px+q)/(rx-p), show that x = f(y).

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