Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let \(*\) be binary operation on non-zero rational number \(Q^+\) defined by \(a*b=\frac{ab}{2}\) for all \(a,b\in Q^+\) then identity element is

Options:

1

2

0

3

Correct Answer:

2

Explanation:

for identity element $e$

\(a*e=\frac{ae}{2}=a\)

$⇒ae=2a$

so $e=2$