Binomial Theorem · JEE Main previous year questions

2002 3 questions

1. Q112002 · 27 Apr 2002 · Shift 1

   The coefficients of $x^p$ and $x^q$ in the expansion of $(1+x{)}^{p+q}$ are

   1. A.equal
   2. B.equal with opposite signs
   3. C.reciprocals of each other
   4. D.none of these
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   Answer: A

2. Q552002 · 27 Apr 2002 · Shift 1

   If the sum of the coefficients in the expansion of $(a+b{)}^n$ is 4096, then the greatest coefficient in the expansion is

   1. A.1594
   2. B.792
   3. C.924
   4. D.2924
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   Answer: C

3. Q562002 · 27 Apr 2002 · Shift 1

   $r$ and $n$ are positive integers $r>1,n>2$ and coefficient of $(r+2{)}^{th}$ term and $3r^{th}$ term in the expansion of $(1+x{)}^{2n}$ are equal, then $n$ equals

   1. A.$3r$
   2. B.$3r+1$
   3. C.$2r$
   4. D.$2r+1$
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   Answer: C