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If x^(n) = a(0) + a(1) (1 + x) + a(2)(1 ...

If `x^(n) = a_(0) + a_(1) (1 + x) + a_(2)(1 + x)^(2) + .. .+ a_(n) (1 +x)^(n) = b_(0) + b_(1) (1 - x) + b_(2) (1 - x)^(2) + ... + b_(n)(1 - x)^(n)` then for n = 201, `(a_(101) , b_(101) )` is equal to:

A

`(-""^(201)C_(101),-""^(201)C_(101))`

B

`(""^(201)C_(101),-""^(201)C_(101))`

C

`(-""^(201)C_(101),""^(201)C_(101))`

D

`(""^(201)C_(101),""^(201)C_(101))`

Text Solution

Verified by Experts

The correct Answer is:
B
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