COMEDK2017MathematicsMathematical Reasoning
If * be a binary operation on a set A and e be the identity element w.r.t. *, then b A is said to be inverse of a A w.r.t. * , if
Options
- Aa^ * e=b^ * e
- Ba=b
- Ca * a=b * b
- Da * b=b * a=e
Correct answer
D. a * b=b * a=e
Step-by-step solution
b A is said to be an inverse of a w.r.t. operation * if a * b=b * a=e . [by definition]