Home
Class 12
MATHS
The sum of the rational terms in the bin...

The sum of the rational terms in the binomial expansion of `(2^((1)/(2)) + 3^((1)/(5)))^(10)` is `:`

A

25

B

32

C

9

D

41

Text Solution

Verified by Experts

The correct Answer is:
C

, `f(4)ge0implies nge24`.
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    VIBRANT|Exercise PART-II : MATHEMATICS|20 Videos

Similar Questions

Explore conceptually related problems

The number of rational terms in the binomial expansion of (4^((1)/(4))+5^((1)/(6)))^(120) is _________ .

Find the 10 th term in the binomial expansion of (2x^(2)+(1)/(x))^(12)

The number of irrational terms in the binomial expansion of (3^(1//5) + 7^(1//3))^(100) is ___

The sum of the rational terms in the expansion of (2^(1//5) + sqrt(3))^(20) , is

Number of irrational terms in the binomial expansion of (3^(1//5) +7^(1//3) )^(100) is

The sum of all rational terms in the expansion of (3^((1)/(5))+2^((1)/(3)))^(15) is

The total number of irrational terms in the binomial expansion of (7^(1//5)-3^(1//10))^(60) is :

VIBRANT-TEST PAPERS-PART - I : MATHEMATICS
  1. The number of ways in which 20 letters a(1),a(2),a(3),.............,a(...

    Text Solution

    |

  2. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+.........+a(16)x^(18)AAx " the...

    Text Solution

    |

  3. The sum of the rational terms in the binomial expansion of (2^((1)/(2)...

    Text Solution

    |

  4. A biased coin with probability p(0ltplt1) of getting heads, is tossed ...

    Text Solution

    |

  5. A lottery sells n^(2) tickets and declares n prizes. If a man purchase...

    Text Solution

    |

  6. If x,y in (0,30) such that [(x)/(3)]+[(3x)/(2)]+[(y)/(2)]+[(3y)/(4)]=(...

    Text Solution

    |

  7. If the 6th term in the expansion of ((1)/(x^(8//3))+x^(2)log(10)x)^(8)...

    Text Solution

    |

  8. For nge 2, " let "a(n)=Sigma(r=0)^(n) (1)/(C(r)^(2)), then value of b...

    Text Solution

    |

  9. Fig. 24.8 shows three events A, B and C. Probabilities of different ev...

    Text Solution

    |

  10. Chords AB and CD of parabola y^(2)=8x intersect at E(2,0). Tangents at...

    Text Solution

    |

  11. Tangents PA and PB to the director circle of circle x^(2)+y^(2)-2x-4y...

    Text Solution

    |

  12. The combined equation of bisectors of lines y = m(1) x " and " y=m(2)...

    Text Solution

    |

  13. The locus of a moving point 'P' which divides AB internally in the rat...

    Text Solution

    |

  14. The equation of the circle touching the lines |y| = x and having radiu...

    Text Solution

    |

  15. The area (in square units ) of the triangle formed by y-axis , the str...

    Text Solution

    |

  16. A variable straight line passes through the points of intersection of ...

    Text Solution

    |

  17. The locus of a point which moves such that the difference of the squar...

    Text Solution

    |

  18. Angle between the tangents drawn to parabola y^(2)+4a^(2)-4ax=0, from ...

    Text Solution

    |

  19. Equation of a common tangent to x^(2)+y^(2)=16" and "9x^(2)+25y^(2)=22...

    Text Solution

    |

  20. If y=ax^(2)+bx+c is the reflection of parabola y=x^(2)-4x+1 about the ...

    Text Solution

    |