Question

If * is defined on R* as a * b = (ab/2) then identity element in the group (R*, *) is
a.1
b.2
c.1/2
d.1/3

Answer 1

Explanation:

2580369147

answers i sthe above

Answer 2

The identity of the relation R* is 2. Option B

Given:

Relation R* as a*b = ab/2

To Find:

Identity of the relation

Solution:

The relation is a*b = ab/2

From that relation the identity element is e

$a \times e = a \: \: \: \: (i$

From the relation

$\frac{ae}{2} = a \times e \: \: (ii$

when analysing the equation i) and ii)

$\frac{ae}{2} = a$

e = 2.

Hence, the identity of the relation is 2. Option B

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