CBSE  /  Class 11  /  Maths  /  Binomial Theorem

  • 1. 
    The coefficient of y in the expansion of (y² + c/y)5 is

  • 10c
  • 10c²
  • 10c³
  • None of these

  • 2. 
    (1.1)10000 is _____ 1000

  • greater than
  • less than
  • equal to
  • None of these

  • 3. 
    The fourth term in the expansion (x - 2y)12 is

  • -1670 x9 × y³
  • -7160 x9 × y³
  • -1760 x9 × y³
  • -1607 x9 × y³

  • 4. 
    If n is a positive integer, then (√3+1)2n+1 + (√3−1)2n+1 is

  • an even positive integer
  • a rational number
  • an odd positive integer
  • an irrational number

  • 5. 
    If the third term in the binomial expansion of (1 + x)m is (-1/8)x² then the rational value of m is

  • 2
  • 1/2
  • 3
  • 4

  • 6. 
    The greatest coefficient in the expansion of (1 + x)10 is

  • 10!/(5!)
  • 10!/(5!)²
  • 10!/(5! × 4!)²
  • 10!/(5! × 4!)

  • 7. 
    The coefficient of xn in the expansion of (1 - 2x + 3x² - 4x³ + ........)-n is

  • (2n)!/n!
  • (2n)!/(n!)²
  • (2n)!/{2×(n!)²}
  • None of these

  • 8. 
    The value of n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively is

  • 2
  • 4
  • 6
  • 8

  • 9. 
    If α and β are the roots of the equation x² - x + 1 = 0 then the value of α2009 + β2009 is

  • 0
  • 1
  • -1
  • 10

  • 10. 
    The general term of the expansion (a + b)n is

  • Tr+1 = nCr × ar × br
  • Tr+1 = nCr × ar × bn-r
  • Tr+1 = nCr × an-r × bn-r
  • Tr+1 = nCr × an-r × br
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