Home
Class 14
MATHS
Let the coefficient of the middle term o...

Let the coefficient of the middle term of the binomial expansion of `( 1+ x )^(2n)` be `alpha` and those of two middle terms of the binomial expansion of `( 1+ x )^(2n -1)` be `beta` and r which one of the following relation is correct ?

A

`alpha gt beta +r`

B

`alpha lt beta +r`

C

`alpha = beta + r`

D

` alpha = beta r `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|41 Videos
  • BINARY NUMBER

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|27 Videos
  • CIRCLE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |21 Videos

Similar Questions

Explore conceptually related problems

Let the coefficient of the middle term of the binomial expansion of (1+x)^(2n) be alpha and those of two middle terms of the binomial expansion of (1+x)^(2n-1) "be" beta and gamma . Which one of the following relations is correct ?

What is the coefficient of the middle term in the binomial expansion of (2+3x)^(4) ?

Write the coefficient of the middle term in the expansion of (1+x)^(2n) .

Find the sum of the coefficient of to middle terms in the binomial expansion of (1+x)^(2n-1)

The sum of the coefficients of middle terms in the expansion of (1+x)^(2n-1)

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1+x)^(2n-1)

PUNEET DOGRA-BINOMIAL THEOREM-PREV YEAR QUESTIONS
  1. Find the number of terms in the expansion of [ ( 2x - 3y )^(2) ( 2x + ...

    Text Solution

    |

  2. In the expansion of ( 1+ ax)^(n), first three terms are 1,12x and 64x^...

    Text Solution

    |

  3. Let the coefficient of the middle term of the binomial expansion of ( ...

    Text Solution

    |

  4. What is the coefficient of the middle term in the binomial expansion o...

    Text Solution

    |

  5. What is the number of non zero terms in the expansion of ( 1+ 2 sqrt( ...

    Text Solution

    |

  6. If the coefficient of a^(m) and a^(n) in the expansion of ( 1+ a)^(m+n...

    Text Solution

    |

  7. In the expansion of ( 1+ x )^(43), if the coefficient of (2r + 1)^(th)...

    Text Solution

    |

  8. What is the greatest integer among the following by which the number 5...

    Text Solution

    |

  9. The number of terms in the expansion of ( x +a)^(100) + ( x -a)^(100) ...

    Text Solution

    |

  10. In the expansion of ( 1+ x)^(50), the sum of the coefficient of odd po...

    Text Solution

    |

  11. The value of : [ C ( 7,0) + C ( 7,1) + C ( 7,2) ]+"........."+[C ( 7,6...

    Text Solution

    |

  12. Consider the expansion of ( 1+ x)^(2n+1) The expansion of ( x-y)^(n)...

    Text Solution

    |

  13. Consider the expansion of ( 1+ x)^(2n+1) What is ""^(47)C(4) + ""^(...

    Text Solution

    |

  14. Consider the expansion of ( 1+ x)^(2n+1) The coefficient of x^(99) ...

    Text Solution

    |

  15. Consider the expansion ( x^(2) + ( 1)/( x))^(15) What is the indepe...

    Text Solution

    |

  16. Consider the expansion ( x^(2) + ( 1)/( x))^(15) The sum of the coef...

    Text Solution

    |

  17. Consider the expansion ( x^(2) + ( 1)/( x))^(15) The average of the ...

    Text Solution

    |

  18. Consider the expansion ( x^(2) + ( 1)/( x))^(15) If the coefficient...

    Text Solution

    |

  19. Consider the expansion ( x^(2) + ( 1)/( x))^(15) What is the indepe...

    Text Solution

    |

  20. What is the ratio of coefficient of x^(15) to the term independent of ...

    Text Solution

    |