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Let A = {0, 1} and N be the set of natural numbers. Then the mapping f: N → A defined by f(2n – 1) = 0, f(2n) = 1, ∀ n ∈ N, is onto. - Mathematics

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प्रश्न

Let A = {0, 1} and N be the set of natural numbers. Then the mapping f: N → A defined by f(2n – 1) = 0, f(2n) = 1, ∀ n ∈ N, is onto.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Explanation:

Given, A = {0, 1}

 f(2n – 1) = 0, f(2n) = 1, ∀ n ∈ N

Thus range of f is {0, 1}

So, the mapping f: N → A is onto.

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ १७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 57 | पृष्ठ १७

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