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Let N be the set of natural numbers and ...

Let N be the set of natural numbers and the relation R be defined on N such that `R={(x,y) : y=2x, y in N}`,

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The correct Answer is:
Domain of R is N, co-domain N and range is even natural numbers. Yes, it is relation.
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook Illustrations for Practice Work
  1. Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-...

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  2. The figure shows a relation between the sets P and Q. Write this relat...

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  3. Let A={1,2} and B={3,4}. Find the number of relations from A to B.

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  4. Let N be the set of natural numbers and the relation R be defined on N...

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  5. Examine each of the following relations given below and state in each ...

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  6. Examine each of the following relations given below and state in each ...

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  7. Examine each of the following relations given below and state in each ...

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  8. Let N be the set of natural numbers. Define a real valued function f: ...

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  9. Define the function f: R to R by y=f(x)=x^(2), x in R. Complete the Ta...

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  10. Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R...

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  11. Define the real valued function f: R -{0} to R" defined by "f(x)=1/2 x...

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  12. Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f...

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  13. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

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  14. Let R be the set of real numbers. Define the real function f: R to R b...

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  15. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

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  16. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

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  17. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

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  18. Let f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z...

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

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  20. The function f is defined by f(x)={(,1-x,x lt 0),(,1,x=0),(,x+1,x gt 0...

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