In the expansion of `(3^(-x//4)+3^(5x//4))^(pi)` the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by `(n-1)` , the value of `x` must be `0` b. `1` c. `2` d. `3`

Options

A. Number of proper divisors of `T_(p)` is `5`
B. Number of proper divisors of `T_(p)` is `4`
C. Number of divisors of `P` is `3`
D. Value of `P` is `4`

Answer

A, C, D

Explanation

We know that middle term has the greatest binomial coeffcient here `n=6`
So middle form is `((6)/(2)+1)=4^(th)`term