Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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Let * be a binary operation, on the set of all non-zero real numbers, given by - Mathematics

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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

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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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