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Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective.{(a, b): a is a person, b is an ancestor of a}

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Question

Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective.
{(a, b): a is a person, b is an ancestor of a}

Sum
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Solution

Given, {(a, b): a is a person, b is an ancestor of a}

It’s clearly seen that any person ‘a’ has more than one ancestors.

Thus, it does not represent a function.

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Chapter 1: Relations And Functions - Exercise [Page 11]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 1 Relations And Functions
Exercise | Q 8. (ii) | Page 11

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