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List of top Mathematics Questions on general and middle terms asked in BITSAT

Find the term independent of \( x \) in the expansion of \( (1 + x)^{n} (1 + \frac{1}{x})^{n} \).
  • BITSAT - 2026
  • BITSAT
  • Mathematics
  • general and middle terms
If the 17th and the 18th terms in the expansion of \( (2 + a)^{50} \) are equal, then the coefficient of \( x^{35} \) in the expansion of \( (a + x)^{-2} \) is:
  • BITSAT - 2026
  • BITSAT
  • Mathematics
  • general and middle terms
The coefficient of the middle term in the expansion of \( (2 + 3x)^4 \) is
  • BITSAT - 2013
  • BITSAT
  • Mathematics
  • general and middle terms
In the binomial (2¹/³+3⁻¹/³)ⁿ, if the ratio of the seventh term from the beginning to the seventh term from the end is 1/6, then n is equal to:
  • BITSAT - 2011
  • BITSAT
  • Mathematics
  • general and middle terms
The coefficient of x³² in the expansion of (x⁴-1x³)¹5 is
  • BITSAT - 2010
  • BITSAT
  • Mathematics
  • general and middle terms
The coefficient of $x^{24}$ in the expansion of $(1 + x^2)^{12} (1 + x^{12}) (1 + x^{24})$ is
  • BITSAT - 2009
  • BITSAT
  • Mathematics
  • general and middle terms
For $| x | < 1$, the constant term in the expansion of $\frac{1}{x -1^2 x - 2}$ is
  • BITSAT - 2009
  • BITSAT
  • Mathematics
  • general and middle terms