JEE Main Questions
Find the 7th term in the expansion of (3x2−x31)10˙
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is very large as compare to y,
prove that x+yxx−yx˙=1+2x2y2
Prove that 10[(10+1)100−(10−1)100] is an even integer .
In the expansion of (1+x)n,
7th and 8th terms are equal. Find the value of (7/x+6)2
Using binomial theorem, evaluate : (101)4
There are two bags each of which contains n balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag is2nCn−1.
Find the coefficient of xn
in the expansion of (1−9x+20x2)−1˙
Find the sum k=0∑10(20)Ck˙