JEE Main Questions
Using binomial theorem evaluate each of the following: (98)5
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Find the greatest coefficient in the expansion of (1+2x/3)15˙
are ositive, then prove that the coefficients of xpandxq
in the expansion of (1+x)p+q
will be equal.
Find the remainder when 2740
is divided by 12.
Find a if the coefficients of x2and x3in the expansion of (3+ax)9are equal.
If (1+x+x2)n=a0+a1x+a2x2++a2nx2n, find the value of a0+a3+a6++,n∈N˙
Find the number of terms which are free from radical signs in the expansion of (y1/5+x1/10)55˙
Find the sum 10C1+10C3+10C5+10C7+10C9˙
Which is larger (1.01)10000000or 10,000?