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If the k^(th) term in the expansion of (...

If the `k^(th)` term in the expansion of `(3/2 x^(2)- (1)/(3x))^(6)` is independent of `x`, then the numerically greatest term in the expansion of `(3/2 x^(2)- (1)/(3x))^(k)` when `x=2/3`, is

A

`(40)/(81)`

B

`(7/6)^(5)`

C

`(20)/(27)`

D

`(7/6)^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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