Home
Class 12
MATHS
For n in N, in the expansion of (root(4)...

For `n in N`, in the expansion of `(root(4)(x^(-3))+a root(4)(x^(5)))^(n)`, the sum of all binomial coefficients lies between 200 and 400 and the term independent of x is 448. Then, the value of a is

A

1

B

2

C

`(1)/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

The sum of the binomial coefficients in the expansion of ((2x)/(3) + (3)/(2x^2))^n is 64 then the term independent of x is

The term independent of x in (x-1//x^2)^(3n) is

If the sum of all the binomial coefficients in (x+y)^n is 512 , then the greatest binomial coefficient is

The sum of the binomial coefficients of the 3rd, 4th terms from the beginning and from the end of (a+ x)^n is 440 then n =

Find the term independent of x in the expansion of ((3)/(root(3)(x))+5sqrt(x))^(25)

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

The term independent of x in (1+x)^n (1+(1)/(x))^n is

If the sum of the coefficients of (1+2x)^n is 6561 then the value of n

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. If a is the number of all even divisors and b is the number of all odd...

    Text Solution

    |

  2. If the coefficient of x^(5) in the expansion of (ax^(2)+(1)/(bx))^(13)...

    Text Solution

    |

  3. For n in N, in the expansion of (root(4)(x^(-3))+a root(4)(x^(5)))^(n)...

    Text Solution

    |

  4. If (x^(4)+x^(3)+2x^(2)-2x+1)/(x^(3)+x^(2)) =P(x)+(A)/(x)+(B)/(x^(2))...

    Text Solution

    |

  5. If A(n)=sin^(n)alpha+cos^(n)alpha, then A(1)A(4)+A(2)+A(5)=

    Text Solution

    |

  6. When (sin9 theta)/(cos27 theta)+(sin3 theta)/(cos9 theta)+(sin theta)...

    Text Solution

    |

  7. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

    Text Solution

    |

  8. Number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-2cosx i...

    Text Solution

    |

  9. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

    Text Solution

    |

  10. If cos h x=(sqrt(14))/(3),sin h x = cos theta and -pi lt theta lt -(pi...

    Text Solution

    |

  11. In DeltaABC, if a=5 and tan((A-B)/(2))=(1)/(4)tan((A+B)/(2)), then sqr...

    Text Solution

    |

  12. In a DeltaABC, if A = 2B and the sides opposite to the angles A, B, C ...

    Text Solution

    |

  13. In DeltaABC, right angled at A, the circumradius, inradius and radius ...

    Text Solution

    |

  14. Let 3hati+hatj-hatk be the position vector of a point B. Let A be a po...

    Text Solution

    |

  15. The vector that is parallel to the vector 2hati-2hatj-4hatk and coplan...

    Text Solution

    |

  16. A line L is passing through the point A whose position vector is hati+...

    Text Solution

    |

  17. If the position vectors of three points A, B, C respectively are hati+...

    Text Solution

    |

  18. The volume of a tetrahedron whose vertices are 4hati+5hatj+hatk,-hatj+...

    Text Solution

    |

  19. If the vectors b, c, d are not coplanar, then the vector (axx b)xx(c x...

    Text Solution

    |

  20. x(1),x(2),….,x(n) are n observations with mean vec(x) and standard dev...

    Text Solution

    |