NDA_Math_2025_Q108

Question:

Consider the following statements: I. f is an one-one function. II. f is onto function if the codomain is the set of natural numbers. Which of the statements given above is/are correct?

Consider the following statements: I. f is an one-one function. II. f is onto function if the codomain is the set of natural numbers. Which of the statements given above is/are correct?

Options:

  • a) I only
  • b) II only
  • c) Both I and II
  • d) Neither I nor II Direction for Questions (109-110): Consider the following for the two (02) items that follow: Let the function f(x) = x2 – 1.
  • a) I only
  • b) II only
  • c) Both I and II
  • d) Neither I nor II Direction for Questions (109-110): Consider the following for the two (02) items that follow: Let the function f(x) = x2 – 1.

correct answer : a)

Explanation:

\ f(x) = px + q is linear polynomial so, f(x) is
one-one
Range = {1, 4, 7, 10}
codomain = N
So it is not onto.

\ f(x) = px + q is linear polynomial so, f(x) is
one-one
Range = {1, 4, 7, 10}
codomain = N
So it is not onto.

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