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Determine Whether Or Not Each of the Definition of Given Below Gives a Binary Operation. in the Event that * is Not a Binary Operation, Give Justification for This. On R, Define * By A * B = Ab2 - Mathematics

Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this.

On R, define * by ab2

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Solution

On R, * is defined by a * b = ab2.

It is seen that for each ab ∈ R, there is a unique element ab2 in R.

This means that * carries each pair (ab) to a unique element * b abin R.

Therefore, * is a binary operation.

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APPEARS IN

NCERT Class 12 Maths
Chapter 1 Relations and Functions
Q 1.3 | Page 24
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