JEE Main Questions
Find the number of terms in the expansions of the following: (x+y)10+(x−y)10
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Prove that r=0∑nnCrsinrxcos(n−r)x=2n−1sin(nx)˙
Find the number of irrational terms in the expansion of (51/6+21/8)100˙
Find the value of ∑1≤i≤j≤n−1∑(ij)ncincj˙
Using binomial theorem, indicate which number is larger (1.1)10000or 1000.
The second, third and fourth terms in the binomial expansion (x+a)nare 240, 720 and 1080, respectively. Find x, a and n.
Using binomial theorem, evaluate : (102)5
are ositive, then prove that the coefficients of xpandxq
in the expansion of (1+x)p+q
will be equal.
Find the coefficient of x13
in the expansion of (1−x)5×(1+x+x2+x2)4˙