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

31

B

41

C

51

D

61

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 67

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|25 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

NTA MOCK TESTS-NTA JEE MOCK TEST 69-MATHEMATICS
  1. Suppose the family of lines ax+by+c=0 (where a, b, c are in artihmetic...

    Text Solution

    |

  2. If the function f(x)=(sin3x+a sin 2x+b)/(x^(3)), x ne 0 is continuous ...

    Text Solution

    |

  3. If x = 6 and y=-2 then x-2y=9. The contrapositive of this statement is

    Text Solution

    |

  4. The point on the ellipse 16x^(2)+9y^(2)=400, where the ordinate decrea...

    Text Solution

    |

  5. The integral I=int(e)^(e+1)(1+x^(2))/(1+x^(3))dx satisfies

    Text Solution

    |

  6. The following system of equations 5x-7y+3z=3, 5x+y+3z=7 and 5x+3y+2z=5...

    Text Solution

    |

  7. The order of the differential equation of the family of curves y=(a)/(...

    Text Solution

    |

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

    Text Solution

    |

  9. A committee of 12 members is to be formed from 9 women and 8 men. The ...

    Text Solution

    |

  10. If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-...

    Text Solution

    |

  11. The number of solutions in the interval [0, pi] of the equation sin^(3...

    Text Solution

    |

  12. Let A(2, 0) and B(-2, 0) are two fixed vertices of DeltaABC. If the ve...

    Text Solution

    |

  13. For two data sets, each with size 5, the variances are given to be 3 a...

    Text Solution

    |

  14. If a tangent having slope 2 of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  15. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |

  16. The volume of a tetrahedron determined by the vectors veca, vecb, vecc...

    Text Solution

    |

  17. The value of lim(xrarr0)(((1-cos4x)(5+cosx))/(xtan5x)) is equal to

    Text Solution

    |

  18. If I=int(1+x^(4))/((1-x^(4))^((3)/(2)))dx=(1)/(sqrt(f(x)))+C(where, C ...

    Text Solution

    |

  19. If x,y are positive real numbers and 3x+4y=5, then the lagest possible...

    Text Solution

    |

  20. Let the radius of the circle touching the parabola y^(2)=x at (1, 1) a...

    Text Solution

    |