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Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Whi...

Let `X={1,2,3,4,5}` and `Y={1,3,5,7,9}`. Which of the following is not a relation from `X` to `Y`

A

`R_(1) = {(x, y) , y =x + 2 , x in X , y in Y}`

B

`R_(2) = { (1,1), (2,1), (3,3), (4,3), (5,5)}`

C

`R_(3) = { (1,1), (1,3), (3,5), (3,7), (5,7)}`

D

`R_(4) = `{ (1,3),(2,5),(2,4),(7,9)}

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
  1. Which of the following relation is NOT a function ?

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  2. The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is (-oo,oo)...

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  3. Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Which of the following is not a r...

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  4. Find the domain of f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))

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  5. Let f(x)=x/(1-x) and let alpha be a real number. If x0=alpha, x1=f(x...

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  6. The domain and range of the relation R given by R = {(x, y) : y = x...

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  7. Find the range of f(x)=sgn(x^2-2x+3)dot

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  8. The domain of definition of the function y(x) is given by the equation...

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  9. A, B and C are three different sets and Axx(BcapC)=(A xxB)cap(AxxC). J...

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  10. Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - ...

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  11. Let f(x)=x/(1+x^2) and g(x)=(e^-x)/(1+[x]), where [x] is the greatest ...

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  12. The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b)...

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  13. Let f (x) = [x], where [x] denotes the greatest integer less than or e...

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  14. Define relations R(1) and R(2) on set A = [2,3,5,7,10] as xR(1)y is 2x...

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  15. A relation R is defined in the set Z of integers as follows (x, y ) in...

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  16. The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , ...

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  17. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

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  18. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

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  19. The domain of f (x) = log (|x - 2 | - 2 | - 1) is

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  20. If f:R to R satisfies f(x+y)=f(x)+f(y), for all x, y in R and f(1)=7,...

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