Home
Class 12
MATHS
If the middle term in the expansion of (...

If the middle term in the expansion of `(1+x)^(2n)` is the greatest term, then x lies in the interval

A

`((n)/(x+1), (n+1)/(n))`

B

`((n+1)/(n), (n)/(n+1))`

C

`(n-2, n )`

D

`(n-1, n )`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (BINOMIAL COEFFICIENTS)|83 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)|68 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

Similar Questions

Explore conceptually related problems

The middle term in the expansion of (x + 1/x)^(2n) is

If the middle term of the expansion of (1+x)^(2n) is the greatest term then prove that x lies between (n)/(n+ 1)" and " (n+ 1)/(n)

The middle term in the expansion of (x+(1)/(x))^10 is

Middle term in the expansion of (2x-(3)/(x))^15 is

Find the middle terms are in the expansion of (2x+3y)^7

The (n+1)th term in the expansion of e^(-2) is

Find the middle terms in the expansions of (x/3 + 9Y)^10 .

The (n+1) the term in the expansion of e^(4x) is

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The value of the greatest term in sqrt3(1+1//sqrt3)^(20) is

    Text Solution

    |

  2. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  3. If the middle term in the expansion of (1+x)^(2n) is the greatest term...

    Text Solution

    |

  4. Which term is the numerically greatest in (1-3x)^10 when x=1//2 ?

    Text Solution

    |

  5. Which term of (2x-3y)^12 when x=1, y=5//2 numerically greatest ?

    Text Solution

    |

  6. The numerically greatest term of (3x+2y)^11 when x=2//3, y=3//4 is

    Text Solution

    |

  7. The numerically greatest term in the expansion of (3+2x)^(49) when x=1...

    Text Solution

    |

  8. If the 4th term in the expansion of (2+3x//8)^10 has the maximum numer...

    Text Solution

    |

  9. The integral part of (sqrt2+1)^6 is

    Text Solution

    |

  10. The positive integer which is just greater than (1+0.0001)^(10000) is

    Text Solution

    |

  11. If n is a +ve integer, then the integral part of (4+sqrt(10))^n is an ...

    Text Solution

    |

  12. (18^3+7^3+3.18. 7. 25)/(3^6 +6.243.2+15.81.4+20.27.8+15.9.16+6.3.32+64...

    Text Solution

    |

  13. (1.03)^19=

    Text Solution

    |

  14. (1.02)^6+(0.98)^6=

    Text Solution

    |

  15. (2-sqrt5)^5 + (2+sqrt5)^5=

    Text Solution

    |

  16. The number of nonzero terms in the expansion of (1+3 sqrt2 x)^9 + (1-3...

    Text Solution

    |

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

    Text Solution

    |

  18. The number of nonzero terms in the expansion of (a+b sqrt 2)^20- (a-b ...

    Text Solution

    |

  19. The number of nonzero terms in the expansion of (x+2 sqrt2)^(101)-(x-2...

    Text Solution

    |

  20. The number of terms in the expansion of (x+y+z)^10 is

    Text Solution

    |