CBSE Class 12-science Answered
Find the identity elememt if it exists for this operation
Asked by lovemaan5500 | 02 Jan, 2020, 08:51: PM
Expert Answer
To find: Identity element for the binary operation * defined as a*b=a+ab, where a and b are integers
Let e be the identity element of the set defined by the binary operation *
Therefore, a*e=a=e*a
Consider, a*e=e
a+ae=a
a(1+e)=a
1+e=1
Therefore, e=0
Now consider, e*a=a
e+ea=a
e(1+a)=a
e=a/(1+a)
Value of e is not equal for both the cases.
Hence, the identity does not exist.
Answered by Renu Varma | 03 Jan, 2020, 11:43: AM
Concept Videos
-
Binary operations in relations and functions ...
Define Binary Operations. Explain identity element, commutative and associa... -
Binary Operations ...
This video defines Binary Operations and explains identity element, commuta... -
Binary Operations
Define Binary Operations. Explain identity element, commutative and associ...
CBSE 12-science - Maths
Asked by goswamineha2611 | 31 Aug, 2020, 06:32: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by alanpeter9611 | 12 Feb, 2019, 06:08: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by niharikapabba2605 | 12 Oct, 2018, 07:21: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by haroonrashidgkp | 07 Jun, 2018, 11:03: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 25 Apr, 2016, 08:38: AM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 12-science - Maths
Asked by Topperlearning User | 26 Apr, 2016, 11:58: AM
ANSWERED BY EXPERT
