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Define binary operation on the set. Verify whether the operation * defined on Q set of rational numbers by a * b = ab belongs to Q is binary or not. |
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Answer» a, b \(\in\) Q a * b = ab ∵ If a & b are rational numbers then their multiple is also a rational number. ∴ If a.b \(\in\) Q ⇒ ab \(\in\) Q ⇒ a * b \(\in\) Q \(\forall\) a,b \(\in\) Q ∴ operation * is binary. |
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