JEE Main Questions
If a and b
are distinct integers, prove that an−bn
is divisible by (a−b)
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Find the coefficient of x6y3in the expansion of (x+2y)9.
Find the term in (ba3+a3b)21
which has the same power of aandb˙
Find a if the 17thand 18thterms of the expansion (2+1)50are equal.
Prove that nC0nC0−n+1C1nC1+n+2C2nC2≡(−1)n˙
Find the sum of the coefficients of all the integral powers of x
in the expansion of (1+2x)40˙
Using binomial theorem, indicate which number is larger (1.1)10000or 1000.
Find the sum r=1∑nr2nCr−1nCr
then find the coefficient of xn
in the expansion of (1+x+x2+)2˙