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Question

If  * and are two binary operations defined by a * b = a + b and a O b = ab, then



Your Answer
A

* is distributive on O.

Your Answer
B

O (b * c) = ac + bc

Your Answer
C

(a * b) O c = ab + ac

Correct Answer
D

is distributive on *.


Solution

The correct option is D

is distributive on *.


O (b * c) = a O (b + c) = a(b + c) = ab + ac

(a Ob )* (a Oc) = ab * ac  = ab + ac

Thus we note that  a O (b * c) =(a Ob )* (a Oc)

Therefore , O distributes over *

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