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If in a DeltaABC, sin^(3)A+sin^(3)B+sin^...

If in a `DeltaABC`, `sin^(3)A+sin^(3)B+sin^(3)C=3sinAsinBsinC`, then `|{:(a,b,c),(b,c,a),(c,a,b):}|` equals

A

`0`

B

`(a+b+c)(ab+bc+ca)`

C

`(a+b+c)^(3)`

D

None of these

Text Solution

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The correct Answer is:
A
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