JEE Main Questions
Evaluate the following: (3+2)6−(3−2)6
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Find the coefficient of x4
in the expansion of (1+x+x2+x3)11˙
Find the middle term in the expansion of (x2+x21+2)n˙
Which is larger (1.01)10000000or 10,000?
In the coefficients of rth, (r+1)th,and(r+2)th
terms in the binomial expansion of (1+y)m
are in A.P., then prove that m2−m(4r+1)+4r2−2=0.
Find the sum C0+3C1+32C2++3nCn˙
Find the greatest term in the expansion of 3(1+31)20˙
Find the coefficient of a5b7∈(a−2b)12
Show that no three consecutive binomial coefficients can be in (i) G.P., (ii) H.P.