NCERT solution Class 11 relations and functions

NCERT Solutions

Class 11 Maths

Relations and Functions

NCERT Questions

Ex.2.1 Q,1
Ex.2.1 Q.2
Ex.2.1 Q.3
Ex.2.1 Q.4
Ex.2.1 Q.5
Ex.2.1 Q.6
Ex.2.1 Q.7
Ex.2.1 Q.8
Ex.2.1 Q.9
Ex.2.1 Q.10
Ex.2.2 Q.1
Ex.2.2 Q.2
Ex.2.2 Q.3
Ex.2.2 Q.4
Ex.2.2 Q.5
Ex.2.2 Q.6
Ex.2.2 Q.7
Ex.2.2 Q.8
Ex.2.2 Q.9
Ex.2.3 Q.1
Ex.2.3 Q.2
Ex.2.3 Q.3
Ex.2.3 Q.4
Ex.2.3 Q.5
Ex.Misc.Q.1
Ex.Misc.Q.2
Ex.Misc.Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7
Ex.Misc.Q.8
Ex.Misc.Q.9
Ex.Misc.Q.10
Ex.Misc.Q.11
Ex.Misc.Q.12

Ex.2.3 Q.1

1. Which of the following relations are functions?

Give reasons. If it is a function, determine its domain and range.

(1) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

(2) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

(3) {(1, 3), (1, 5), (2, 5)}.

(1) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}

Since 2, 5, 8, 11, 14, and 17 are the elements of the domain of the given relation having their unique images, this relation is a function.

Here, domain = {2, 5, 8, 11, 14, 17} and range = {1}

(2) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

Since 2, 4, 6, 8, 10, 12, and 14 are the elements of the domain of the given relation having their unique images,

this relation is a function.

Here, domain = {2, 4, 6, 8, 10, 12, 14} and range = {1, 2, 3, 4, 5, 6, 7}

(3) {(1, 3), (1, 5), (2, 5)}

Since the same first element i.e., 1 corresponds to two different images i.e., 3 and 5,

this relation is not a function.

Video solution:

Relations and Functions Class 11 Maths NCERT Chapter 2 NCERT Solutions

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NCERT solutions of Relations and Functions Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Relations and Functions NCERT solutions.