Home
Class 12
MATHS
If n even positive integer, then the con...

If n even positive integer, then the condition that the greatest term in the expansion of `(1+x)^(n)` may also have the greatest coefficient is

A

`(n)/(n+2)ltxlt(n+2)/(n)`

B

`(n)/(n+1)ltxlt(n+1)/(n)`

C

`(n+1)/(n+2)ltxlt(n+2)/(n+1)`

D

`(n+2)/(n+3)ltxlt(n+3)/(n+2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If n is an even positive integer, then find the value of x if the greatest term in the expansion of (1+x) ^n may have the greatest coefficient also.

Which terms in the expansion of (x+(1)/(2x))^(3n) has the greatest coefficient ?

Show that if the greatest term in the expansion of (1+x)^(2n) has also the greatest coefficient then x lies between n/n+1 and n+1/n

The interval in which x must lie so that greatest term in the expansion of (1+x)^(2n) has the greatest coefficient is

The greatest term in the expansion of (1+x)^(10) when x=2/3 is

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

Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .

The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

If n is a positive integer then the coefficient of x ^(-1) in the expansion of (1+x) ^(n) (1+ (1)/(x)) ^(n) is-

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. If (2lerlen), then ""^(n)C(r)+2.""^(n)C(r+1)+""^(n)C(r+2) is equal to

    Text Solution

    |

  2. The number (101)^(100)-1 is divisible by

    Text Solution

    |

  3. If n even positive integer, then the condition that the greatest term ...

    Text Solution

    |

  4. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  5. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  6. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  7. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  8. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  9. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

  10. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  11. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  12. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  13. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  14. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  15. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  16. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  17. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  18. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  19. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |

  20. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |