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Let A=RR(0)xxRR where RR(0) denote the s...

Let `A=RR_(0)xxRR` where `RR_(0)` denote the set of all non-zero real numbers. A binary operation `**` is defined on A as follows: `(a,b)**(c,d)=(ac,bc+d)` for all `(a,b),(c,d)inRR_(0)xxRR.`
Binary operation `**` is--

A

commutative but not associative A

B

commutative and associative on A

C

associative but not commutative on A

D

none of these

Text Solution

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The correct Answer is:
B
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