CBSE  /  Class 11  /  Maths  /  Binomial Theorem

  • 1. 
    The coefficient of xn in the expansion (1 + x + x² + .....)-n is

  • 1
  • (-1)n
  • n
  • n+1

  • 2. 
    If n is a positive integer, then (√5+1)2n + 1 − (√5−1)2n + 1 is

  • an odd positive integer
  • not an integer
  • none of these
  • an even positive integer

  • 3. 
    In the expansion of (a + b)n, if n is even then the middle term is

  • (n/2 + 1)th term
  • (n/2)th term
  • nth term
  • (n/2 - 1)th term

  • 4. 
    In the expansion of (a + b)n, if n is odd then the number of middle term is/are

  • 0
  • 1
  • 2
  • More than 2

  • 5. 
    if n is a positive ineger then 23nn - 7n - 1 is divisible by

  • 7
  • 9
  • 49
  • 81

  • 6. 
    In the binomial expansion of (71/2 + 51/3)37, the number of integers are

  • 2
  • 4
  • 6
  • 8

  • 7. 
    The number of ordered triplets of positive integers which are solution of the equation x + y + z = 100 is

  • 4815
  • 4851
  • 8451
  • 8415

  • 8. 
    The greatest coefficient in the expansion of (1 + x)10 is

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

  • 9. 
    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

  • 10. 
    In the binomial expansion of (a + b)n, the coefficient of fourth and thirteenth terms are equal to each other, then the value of n is

  • 10
  • 15
  • 20
  • 25
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