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Let X = {1, 2, 3}and Y = {4, 5}. Find whether the following subset of X ×Y are function from X to Y or not k = {(1,4), (2, 5)}

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Question

Let X = {1, 2, 3}and Y = {4, 5}. Find whether the following subset of X ×Y are function from X to Y or not

k = {(1,4), (2, 5)}

Sum
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Solution

Given, X = {1, 2, 3} and Y = {4, 5}

So, X × Y = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

k = {(1, 4),(2, 5)}

Function k is not a function as ‘3’ has not any image under the mapping.

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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 12. (iv) | Page 11

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