Home
Class 12
MATHS
If A = {0,1} and N be the set of natura...

If `A = {0,1}` and N be the set of natural numbers. Then , the mapping `f: N rarr A` defined by `f(2n-1) = 0 , f(2n) = 1, AA n in N` , is onto.

Text Solution

Verified by Experts

The correct Answer is:
True Statement
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - A)|5 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - B)|4 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|5 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

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

f: N rarr N , f(n) = (n+5)^(2) , n in N , then the function f is ............

Show that the function f:N rarr N , given by f(1) = f(2) = 1 and f(x) = x - 1, for every x gt 2 , is onto but not one-one.

Let N be the set of natural numbers. Define a real valued function f: N to n by f(x)=2x+1. Using this defination, complete the table given below,

Show that the function f:N rarr N , given by f(x) = 2x, is one-one but not onto.

If n(A) = m and n(B) = n then numbers of function f: A rarr B are m.n .

f: Z rarr Z, f(n)= (-1)^(n) . Find the range of f.

lf f is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I , then

Let f : R - {n} rarr R be a function defined by f(x)=(x-m)/(x-n) , where m ne n . Then,

Check the injectiveity and surjectivity of the following functions : f: N rarr N given by f(x) =x^2