Home
Class 12
MATHS
If A = (x: x = (1)/(y), y in N), where N...

If A = (x: x = `(1)/(y), y in N`), where N is the set of natural numbers , then

A

`0 in A`

B

`1 in A`

C

`2 in A`

D

`(2)/(3) in A`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

If X={4^n -3n-1 , n in N} and Y={9(n-1), n in N} , where N is the set of natural numbers, then X uu Y is equal to :

If f : N xx N rarr N is such that f (m,n) = m+n , for all n in N , where N is the set of all natural numbers, then which of the following is true?

If A = {x:x in N, (x^2-9)(x^2-5)=0} and B={x:x in N,x(x-2)(x-3)=0} where N is the set of all natural numbers, then BxxA is

The functon f: N rarr N , defined by f(n)=2n+3 , for all n in N , is (here N is the set of natural numbers)

The function f : N rarr N , Where N is the set of natural numbers, defined by f(x) = 3x+4 is

If A={1,2,3...} and N is the set of natural numbers, then check whether A and N are equal?

The altitude through A of DeltaABC meets BC at D and the circumscribed circle at E. If D = (2, 3), E = (5,5) , the ordinate of the orthocentre being a natural number. If the probability that the orthocentre lies on the lines y =1; y = 2; y = 3......y = 10 is m/n where m and n are

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If f : A rarr B is surjective then

    Text Solution

    |

  2. Let f(x) = ( 2x+1)/(1-3x), then f^-1 (x) =

    Text Solution

    |

  3. If A = (x: x = (1)/(y), y in N), where N is the set of natural numbers...

    Text Solution

    |

  4. If f(x) = 1+x^4, then f(x).f((1)/(x))=

    Text Solution

    |

  5. If f(x) = cos(log x), then f((1)/(x)) f((1)/(y) - (1)/(2)[f((x)/(y))+ ...

    Text Solution

    |

  6. Two functions f:R rarr R and g:R rarrR are defined as below f(x) = {(0...

    Text Solution

    |

  7. The domain of the function f(x)=sqrt(2-2x-x^2) is

    Text Solution

    |

  8. If g(x) = 1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) =

    Text Solution

    |

  9. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))+2 is gi...

    Text Solution

    |

  10. On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)...

    Text Solution

    |

  11. The mapping f:R^+ rarr R defined by f(x) = log{10}x, (Where R^+ is the...

    Text Solution

    |

  12. The function f(x) = 10^x from the set R of real numbers to [0,oo) is

    Text Solution

    |

  13. If R denotes the set of all real numbers than the function f : R rarr ...

    Text Solution

    |

  14. If f : N xx N rarr N is such that f (m,n) = m+n, for all n in N, where...

    Text Solution

    |

  15. If f(x)=(2^(x)-2^(-x))/(2^(x)+2^(-x)),"then"f^(-1)(x) is :

    Text Solution

    |

  16. If f(x) = (1-x)/(1+x), then f[f(cos x)]=

    Text Solution

    |

  17. If f(x) = (x-3)/(x+1), then f[f{f(x)}]=

    Text Solution

    |

  18. If f(x) = x/(x - 1) = 1/y, then f(y)=

    Text Solution

    |

  19. If f(x) = (x-1)/(x+1), then f[1/f(x)]=

    Text Solution

    |

  20. The number of bijective functions from the set A to itself, if A conta...

    Text Solution

    |