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

The sum of the rational terms in the expansion of
`(sqrt(2)+ root(5)(3))^(10)` is

A

25

B

32

C

9

D

41

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Number of rational terms in the expansion of (sqrt(2)+root4 (3))^(100) is

The number of rational terms in the expansion of (1+sqrt(2)+root(3)(3))^(6) is

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

The number of irrational terms in the expansion of (root(8)(5)+ root(6)(2))^(100) is

Number of rational terms in the expansion of (1+sqrt(2)+sqrt(5))^(6) is :

The sum of the all rational terms in the expansion of (3^(1//7) + 5^(1//2))^(14) is

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. Given positive integers r>1,n> 2, n being even and the coefficient of...

    Text Solution

    |

  2. The ratio of the coefficient of x^(15) to the term independent of x in...

    Text Solution

    |

  3. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  4. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

    Text Solution

    |

  5. The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...

    Text Solution

    |

  6. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  7. If (2+x/3)^(55) is expanded in the ascending powers of x and the coeff...

    Text Solution

    |

  8. If 1 +x^4 +x^5 =sum(i=0)^5 ai (1 + x)^i, for all x in R, then a2 is :

    Text Solution

    |

  9. The coefficient of x^(1012) in the expansion of (1+x^(n)+x^(253)^(10),...

    Text Solution

    |

  10. The sum of coefficients of integral powers of x in the binomial exp...

    Text Solution

    |

  11. If the coefficients of the three successive terms in the binomial expa...

    Text Solution

    |

  12. The term independent of x in the binomial expansion of (1-1/x+3x^(5))(...

    Text Solution

    |

  13. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

    Text Solution

    |

  14. FOr xin r, x != -1 , If (1+x)^(2016)+x(1+x)^(215)+x^2(1+x)^(2014)+...

    Text Solution

    |

  15. If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^...

    Text Solution

    |

  16. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |

  17. If (27)^999 is divided by 7, then the remainder is .

    Text Solution

    |

  18. The coefficient of x^(-5) in the binomial expansion of ((x +1)/(x^(2/3...

    Text Solution

    |

  19. The sum of the coefficients of all odd degree terms in the expansion o...

    Text Solution

    |

  20. If n is the degree of the polynomial, [2/(sqrt(5x^3+1)-sqrt(5x^3-1))]^...

    Text Solution

    |