Class 12th math solution Chapter 01 Exercise 1.3 In Hindi Pdf Download
Class 12th math solution Chapter 01 Exercise 1.3 In Hindi Pdf Download | Class 12th Math solution In Hindi Pdf Download | BSEB NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.3 | NCERT Solutions for Class 12 Maths Chapter 1 Exercise 1.3 | ncert solutions for class 12 maths chapter 1 relations and functions Math Chapter 01 Exercise 1.3 class 12th bihariacademy
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Class 12th math solution Chapter 01 Exercise 1.3 In Hindi PDF
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Class 12th Math solution In Hindi Pdf Download OverView
Class | 12th Or Inter |
Category | Class 12th Mathematics |
Category | Mathematics |
Type | PDF Solution |
Chapter Name | सम्बन्ध एंव फलन |
Exercise | 1.3 |
Published by | Bihari Academy |
Script | In Hindi Medium |
Join Telegram Group | Click Hare |
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12th math solution Chapter 01 Exercise 1.3 In Hindi Pdf Download
Pattern Based | Bihar Board, Patna |
Class | 12th |
Stream | Science (I.Sc) |
Subject | Mathematics |
Question Types | Pdf Solutions |
Script | Hindi And English Medium |
Published On | Bihari Academy |
State with reason whether following functions have inverse
(i) f: {1, 2, 3, 4} → {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)}
Answer:
f: {1, 2, 3, 4} → {10}
defined as: f = {(1, 10), (2, 10), (3, 10), (4, 10)}
From the given definition of f, we can see that f is a many one function as : f(1) = f(2) = f(3) = f(4) = 10
∴f is not one-one.
Hence, function f does not have an inverse.
(ii) g: {5, 6, 7, 8} → {1, 2, 3, 4}
defined as: g = {(5, 4), (6, 3), (7, 4), (8, 2)}
From the given definition of g, it is seen that g is a many one function as: g(5) = g(7) = 4.
∴g is not one-one,
Hence, function g does not have an inverse.
(ii) g: {5, 6, 7, 8} → {1, 2, 3, 4}
defined as: g = {(5, 4), (6, 3), (7, 4), (8, 2)}
From the given definition of g, it is seen that g is a many one function as: g(5) = g(7) = 4.
∴g is not one-one,
Hence, function g does not have an inverse.