JEE Main Questions
Find the degree of the polynomial
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The number of terms in the expansion of (a+b+c)n,wheren∈N˙
Find the coefficient of xn
in the expansion of (1−9x+20x2)−1˙
The coefficients of three consecutive terms in the expansion of (1+a)nare in the ratio 1: 7 : 42. Find n.
Using binomial theorem, evaluate : (101)4
Show that the middle term in the expansion of (1+x)2nisn!(1.3.5(2n−1))2nxn,wheren
is a positive integer.
Find the 6th term in expansion of (2x2−1/3x2)10˙
Find a, b and n in the expansion of (a+b)nif the first three terms of the expansion are 729, 7290 and 30375, respectively.
Find the coefficient of x13
in the expansion of (1−x)5×(1+x+x2+x2)4˙