Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

# Let * be a binary operation, on the set of all non-zero real numbers, given by - Mathematics

Let * be a binary operation, on the set of all non-zero real numbers, given by a** b = (ab)/5 for all a,b∈ R-{0} that 2*(x*5)=10

#### Solution

It is given that a*b=(ab)/5, where and

Using a*b(ab)/5  in the equation , we get:

2((5x)/5)=10          ( x*5=5x)

⇒2*x=10
⇒(2x)/5=10
⇒x=25

∴ The value of x is 25.

Concept: Concept of Binary Operations
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