Q. 25.0( 1 Vote )

Find the identity element in the set of all rational numbers except – 1 with respect to * defined by a*b = a + b + ab

Answer :

Given that binary operation ‘*’ is valid for set of all rational numbers Q defined by a*b = a + b + ab for all a,bR.


Let us assume aR and the identity element that we need to compute be eR.


We know that he Identity property is defined as follows:


a*e = e*a = a


a + e + ea = a


e + ae = a – a


e(1 + a) = 0


e = 0


The required Identity element w.r.t * is 0.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matricesTriangular Matrices & operations on matricesTriangular Matrices & operations on matrices58 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses