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Name: Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1 question 14
Uploaded: Sat, 2021-07-10 22:02
Description: Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1 question 14

#Functions
#R.D. Sharma
#RD Sharma Vol. 1 Class 12
#School
#CBSE 12 Class

#1.3
#2.1
#2.2
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#2.4
#9.12

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Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1 question 14

Answers (1)

Given:

$A=\left \{ 1,2,3 \right \}$

To prove:

One-one function must be onto.

Solution:

Here $f:A\rightarrow A$ and $A=\left \{ 1,2,3 \right \}$

We know that, since f is one-one, so the three elements of $\left \{ 1,2,3 \right \}$ must be taken to different element of the co-domain $\left \{ 1,2,3 \right \}$ under f.

Hence f must be onto.

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Provide solution for RD Sharma maths class12 Chapter Functions exercise 2.1 question 14

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