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Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)...

Let `S_n=1+q+q^2 +...+q^n` and `T_n =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n` If `alpha T_100=^101C_1 +^101C_2` x `S_1 ...+^101C_101` x`S_100,` then the value of `alpha` is equal to (A) `2^99` (B) `2^101` (C) `2^100` (D) `-2^100`

A

`2^(100)`

B

200

C

`2^(99)`

D

202

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