Home
Class 11
MATHS
Let A={9, 10 , 11 , 12 , 13} and let f: ...

Let `A={9, 10 , 11 , 12 , 13}` and let `f: A->N` be defined by `f(n)=` the highest prime factor of `n` . Find the range of `fdot`

A

{3,5, 11, 13}

B

{2,3,5,11,13}

C

{2,3,5,7,11,13}

D

{2,3,11,13}

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise CHAPTER TEST|24 Videos

  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (g)|37 Videos

Similar Questions

Explore conceptually related problems

If A = {9, 10, 11, 12, 13} and let f : A rarr N is defined by f(x) = highest prime factor of x. then the number of distinct elements in the image of f is : "(a) 6 (b)7 (c) 8 (d) 4 "

Let A={12 ,13 ,14 ,15 ,16 ,17}a n df: A→Z be function given by f(x)= highest prime factor of x . Find range of fdot

Let f: N-{1}->N be defined by, f(n)= the highest prime factor of n . Show that f is neither one-one nor onto. Find the range of fdot

Let f: N-[1]vecN be defined by, f(n)= the highest prime factor of n . Show that f is neither one-one nor onto. Find the range of fdot

Let f: N-[1]vecN be defined by, f(n)= the highest prime factor of n . Show that f is neither one-one nor onto. Find the range of fdot

If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in Q Find: range of fdot

f:xto highest prime factor of x. Find the range of f when the domain is {12,13,14,15,16,17} .

A be the set of two positive integers and f: A -> Z^+ (set of positive integer) defined as f(n)= p where p is the largest prime factor of n. If the range of f is {3} , find A.

Let f:N->N be defined by f(x)=x^2+x+1,x in N . Then f(x) is

Let A={x in R :-4lt=xlt=4 and x!=0} and f: A->R be defined by f(x)=(|x|)/x . Write the range of fdot

ICSE-RELATION AND FUNCTIONS-MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)
  1. Let A={9, 10 , 11 , 12 , 13} and let f: A->N be defined by f(n)= the h...

    Text Solution

    |

  2. If A = (-1,2,5,8), B = {0,1,3,6,7) and R be the relation "is one less ...

    Text Solution

    |

  3. If R={(x,y):x,y in W,2x+y=8}, then domain of R is

    Text Solution

    |

  4. If R = {(x,y):x, y in N, x+2y=8} then range of R is

    Text Solution

    |

  5. Let A = {1,2,3,4,5,6} and R be the relation defined on A by R = {(x, y...

    Text Solution

    |

  6. Let A=[3,4] and B[7,11] and R be the relation from A to B defined as R...

    Text Solution

    |

  7. Given R={(x,y): x,y inZ,y=3}, then which ordered pair belongs to R?

    Text Solution

    |

  8. Given R={(x,y):x,y in W, x^(2)+y^(2) =169}, then the domain of R is

    Text Solution

    |

  9. If A = {a,b) and B = {x, y, z), then the number of relations from B to...

    Text Solution

    |

  10. Let n(A) = m and n(B) = n, then the number of non-empty relations from...

    Text Solution

    |

  11. Let A be a finite set containing n elements, then the number of relati...

    Text Solution

    |

  12. If A = {2,3,4,5,6) and R is a relation on set A defined by R= {(x, y):...

    Text Solution

    |

  13. Which of the following relations is a function?

    Text Solution

    |

  14. Which of the following arrow diagrams represents a function from Xto Y...

    Text Solution

    |

  15. Let A and B be two finite sets, then the number of functions from A to...

    Text Solution

    |

  16. Let A be a finite set containing 3 elements, then the number of functi...

    Text Solution

    |

  17. The domain of the functionf detined by f(x)= sqrt(a^(2)-x^(2)),(agt 0)...

    Text Solution

    |

  18. The domain of the function f defined by f(x)= sqrt(x^(2)-9) is

    Text Solution

    |

  19. The domain of the function f defined by f(x)=(1)/(sqrt(|x|-x)) is

    Text Solution

    |

  20. The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

    Text Solution

    |

  21. The domain and range of the real function f defined by f(x)=(1)/(4x^(2...

    Text Solution

    |