Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

Plz explain and answer example 6th
question image
Asked by lovemaan5500 | 02 Dec, 2019, 04:17: PM
answered-by-expert Expert Answer
f(a,b) = (b,a)
f(x)= (b,a)
f(x1)= (b1,a1)
f(x2)= (b2,a2)
consider
f(x1)=f(x2)
that means
(b1,a1)=(b2,a2)
only possible if
b1=b2
a1=a2
hence 
x1=x2
so one one function
 
Now,
f(a,b)=(b,a)
f(x)=(b,a)
Let the function f be defined by f:A×BB×A
 such that f(a,b)=(b,a)
the function is onto if for every element y=(b,a∈ B×A, there exist an element x=(a,b∈ A×B
such that f(x)=y
This is always possible for all ∈ A,and,∈ B
Hence the function f is onto

Answered by Arun | 03 Dec, 2019, 10:12: AM
CBSE 12-science - Maths
Asked by nainaadityathakur | 12 Mar, 2024, 01:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sdmbotch1123 | 19 Sep, 2023, 01:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sankarbongu2003 | 22 Jun, 2020, 11:18: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by alanpeter9611 | 26 Feb, 2019, 02:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by alanpeter9611 | 26 Feb, 2019, 02:19: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by atul_rclal | 16 Jul, 2018, 06:15: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 25 Oct, 2016, 09:08: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 25 Oct, 2016, 09:09: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 25 Oct, 2016, 09:11: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 25 Oct, 2016, 09:09: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×