Check sibling questions

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let 𝑓 = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, 𝑓 is best defined as:

(a) Surjective function          (b) Injective function

(c) Bijective function             (d) function

 

This question is inspired from Ex 1.2 , 6 - Chapter 1 Class 12 - Relation and Functions

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Question 37 Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let 𝑓 = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, 𝑓 is best defined as: (a) Surjective function (b) Injective function (c) Bijective function (d) function Injective Injective means one-one Since all elements have unique image ∴ R is injective Surjective Surjective means onto Since all elements B do not have a pre-image ∴ R is not surjective So, the correct answer is (B)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.