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Manipal MET2017MathematicsSets and Relations

In the set Q⁺ of all positive rational numbers, the operation * is defined by the formula a * b= a b 6 . Then, the inverse of 9 with respect

Options

  1. A4
  2. B3
  3. C1 9
  4. D1 3

Correct answer

A. 4

Step-by-step solution

Let e be the identity. aligned & a * e=a & a b 6 =a & e=6 & a * a⁻¹=e & a * a⁻¹=6 & a a⁻¹ 6 =6 a⁻¹= 6 6 a & 9⁻¹= 6 6 9 =4 aligned

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