JEE Main Questions
Using binomial theorem evaluate each of the following: (96)3
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Using the binomial theorem, evaluate (102)5
Find the remainder when 798
is divided by 5.
Let n be an odd natural number greater than 1. Then , find the number of zeros at the end of the sum 99n+1.
then find the possible value of n˙
Find the term independent of x in the expansion of (1+x+2x3)[(3x2/2)−(1/3x)]9
Find the last two digits of the number (23)14˙
Find the coefficient of x4 in the expansion of (2x−x23)10.
Show that the coefficient of the middle term in the expansion of (1+x)2nis equal to the sum of the coefficients of two middle terms in the expansion of (1+x)2n−1.