English

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Is the following true? f is a function from A to B Justify your answer in case.

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Question

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Is the following true?

f is a function from A to B

Justify your answer in case.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Since (2, 9), (2, 11)  f i.e., f contains two ordered pairs with the same first element. Hence, f is not a function from A to B.

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Chapter 2: Relations and Functions - Miscellaneous Exercise [Page 40]

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NCERT Mathematics [English] Class 11
Chapter 2 Relations and Functions
Miscellaneous Exercise | Q 10 (ii) | Page 40

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