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If (a(1)+ib(1))(a(2)+ib(2))….(a(n)+ib(n)...

If `(a_(1)+ib_(1))(a_(2)+ib_(2))….(a_(n)+ib_(n))=A+iB,` then `(a_(1)^(2)+b_(1)^(2))(a_(2)^(2)+b_(2)^(2))…..(a_(n)^(2)+b_(n)^(2))` is equal to

A

1

B

`A^(2)+B^(2)`

C

`A+B`

D

`1/(A^(2))+1/(B^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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