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A binary operation Δ is defined on the set of real ...

A binary operation Δ is defined on the set of real numbers, R, by aΔb=a+bab, where a 0, b 0. Evaluate 3Δ1.

A.

43

B.

433

C.

334

D.

334

Correct answer is B

aΔb = a+bab

3Δ1 = 3+13×1

43, rationalising, we have

4×33×3=433