Binomial theorem - Past JEE Questions - Problems

1. The coefficient of x⁴ in [(x/2)- (3/x²)]¹⁰ is

a. 405/256
b. 504/259
c. 450/263
d. none of these

(JEE 1983, Scr)

2. Let n be a positive integer. If the coefficient of 2nd, 3rd, and 4th terms in the expansion of (1 + x)ⁿ are in A.P. then the value of n is ________________ .
(JEE 1994 Scr)


3. If the binomial expansion of (a-b)ⁿ, n≥5, the sum of the 5th and 6th terms is zero. The a/b equals

a. (n-5)/6
b. (n-4)/5
c. 5/(n-4)
d. 6/(n-5)

(JEE 2001 Scr)


4. The coefficient of t²⁴ in (1+t²)¹²(1+t¹²)(1+²⁴) is

a. ¹²C₆ + 3
b. ¹²C₆ + 1
c. ¹²C₆
d. ¹²C₆ + 2

(JEE 2003 Scr)