Binomial Theorem · JEE Main previous year questions

2004 2 questions

1. Q122004 · 24 Apr 2004 · Shift 1

   The coefficient of the middle term in the binomial expansion in powers of $x$ of $(1+\alpha x{)}^4$ and $(1-\alpha x{)}^6$ is the same if $\alpha$ equals

   1. A.$\frac{3}{5}$
   2. B.$\frac{10}{3}$
   3. C.$\frac{-3}{10}$
   4. D.$\frac{-5}{3}$
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   Answer: C

2. Q132004 · 24 Apr 2004 · Shift 1

   The coefficient of $x^n$ in expansion of $(1+x)(1-x{)}^n$ is

   1. A.$(-1{)}^{n-1}n$
   2. B.$(-1{)}^n(1-n)$
   3. C.$(-1{)}^{n-1}(n-1{)}^2$
   4. D.$(n-1)$
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   Answer: B