Home
Class 12
MATHS
The coefficient of x ^(3) in the expansi...

The coefficient of `x ^(3)` in the expansion of `(1-2x)/((2x +1)(2-x))` is

A

`- (509)/(80)`

B

`(509)/(80)`

C

`-(103)/(16)`

D

`(103)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2018 (4 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • TS EAMCET 2019 (3 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|79 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(2) in the expansion of e^(2x+3) is

The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is

The coefficient of x^(n) in the expansion of (2+3x)(e^(-3x)) is

Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2)) .

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (7 MAY SHIFT 1)-MATHEMATICS
  1. The polynomial equation of degree 5 whose roots are the translates of ...

    Text Solution

    |

  2. The number of natural numbers less than 1000, in which no two dig...

    Text Solution

    |

  3. The coefficient of x ^(3) in the expansion of (1-2x)/((2x +1)(2-x)) is

    Text Solution

    |

  4. If the coefficient of rth, (r + 1)th and (r+ 2)th terms in the expansi...

    Text Solution

    |

  5. If n is positive integer greater than 1, then 3 (""^(n) C(0)) -8(""^(n...

    Text Solution

    |

  6. (3x-2)/((x +1) ^(2) (x +2))=(A)/(x+1) + (B)/((x +1)^(2))+ (C )/(x +3),...

    Text Solution

    |

  7. If sin theta + sin ^(2) theta =1 and cos ^(12) theta + a cos ^(10) the...

    Text Solution

    |

  8. cos 20^(@)* cos 40^(@) * cos 60^(@) * cos 80^(@) =

    Text Solution

    |

  9. If A+B +C= pi /4 then 4 cos ""A/2 cos ""B/2 cos ""C/2 - cos ""pi/8=

    Text Solution

    |

  10. Let A = {x in, R//|sqrt3 cos x - sin x| ge 2,0 le x le 2pi}.If x (1) i...

    Text Solution

    |

  11. All the values of x satisfying the equation 2 tan^ (-1) 2x = sin ^(-1)...

    Text Solution

    |

  12. sin h ^(-1) 2 + cos h ^(-1) 2- tanh ^(-1) ""(2)/(3) + cot h ^(-1) (2)=

    Text Solution

    |

  13. The greatest angle of the triangle whose sides are x ^(2) + x + 1,2x +...

    Text Solution

    |

  14. In a Delta ABC, if a:b:c=4:5:6, then the ratio of the radius of its ci...

    Text Solution

    |

  15. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

    Text Solution

    |

  16. The position vectors of three points A,B and C (1,3,x ) (3,5,8) and (y...

    Text Solution

    |

  17. A line L passes through the poins hati+ 2 hatj + hatk and - 2 hati + 3...

    Text Solution

    |

  18. If P, Q, R are the mid-point of the sides AB, BC and CA of Delta ABC r...

    Text Solution

    |

  19. Let a = hati + hatj, b = hatj+ hatk and c = hati+ hatk. If d is unit v...

    Text Solution

    |

  20. If a= hati + hatj and b = 3 hati - 2 hatj, then the vector r satisfyin...

    Text Solution

    |