Q. 25.0( 1 Vote )

Find the identity

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.
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
view all courses

| Let * be a binaMathematics - Board Papers

Find the idMathematics - Board Papers

Let f : A Mathematics - Exemplar

Show that the binMathematics - Board Papers

Determine whetherRD Sharma - Volume 1

Fill in theMathematics - Exemplar