In the expansion of 3−x/4+35x/4n the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third term by (n - 1), the value of x must be

To get sum of coefficients put x = 0. Given that sum of coefficients is2n=64or    n=6The greatest binomial coefficient is  6C3.Now given thatT4−T3=6−1=5⇒6C33−x/4335x/43−6C23−x/4435x/42=5which is satisfied by x = 0.