Home
Class 12
MATHS
The numberof integral termsin the expans...

The numberof integral termsin the expansion of `(qrt(3)-root(8)(5))^256` is (A) 32 (B) 33 (C) 34 (D) 35

A

35

B

32

C

33

D

34

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 Videos

Similar Questions

Explore conceptually related problems

The numberof integral termsin the expansion of (root(2)(3)-root(8)(5))^256 is (A) 32 (B) 33 (C) 34 (D) 35

The number of integral terms in the expansion of (sqrt3+ root8 5)^(256 is

The number of integral terms in the expansion of (sqrt(3)+5sqrt(8))^(266) is

Number of integral terms in the expansion of (sqrt5+root8(7))^(1024) is

The number of integral terms in the expansion of (3^(1//2)+5^(1//8))^(256) is

The number of terms with integral coefficients in the expansion of (17(1)/(3)+35(1)/(2)x)^(600) is (A) 100(B)50(C)150(D)101

((144)^(1/2)+(256)^(1/2))/(3^2-2) = (A) 8 (B) 4 (C) -4 (D) -8

(-29)+5 is equal to: 24 (b) 34 (c) -34 (d) -24

2^(3^2) = (a)64 (b) 32 (c)256 (d) 512

DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
  1. If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...

    Text Solution

    |

  2. The number of real negavitve terms in the binomial expansion of (1 ...

    Text Solution

    |

  3. The numberof integral termsin the expansion of (qrt(3)-root(8)(5))^256...

    Text Solution

    |

  4. Prove by induction that the integer next greater than (3+sqrt(5))^n is...

    Text Solution

    |

  5. The value of x in the expression (x+x^((log)(10)))^5 if third term in ...

    Text Solution

    |

  6. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

    Text Solution

    |

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

    Text Solution

    |

  8. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  9. The sum of the coefficients in the expansion of (x^(2)- (1)/( 3))^(199...

    Text Solution

    |

  10. The value of .^(20)C(10)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+....

    Text Solution

    |

  11. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

    Text Solution

    |

  12. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

    Text Solution

    |

  13. The sum of the series (12)/(2!)+(28)/(3!)+ (50)/(4!) + ( 78)/(5!)+"......

    Text Solution

    |

  14. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

    Text Solution

    |

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

    Text Solution

    |

  16. (C0)/1+(C2)/3+(C4)/5+(C6)/7+.....=

    Text Solution

    |

  17. Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r...

    Text Solution

    |

  18. The value of ""^(50)C(4)+sum(r=1)^(6)""^(56-r)C(3), is

    Text Solution

    |

  19. If x is very small in magnitude compared with a such that ((a)/(a+ ...

    Text Solution

    |

  20. In the expression (x+1) (x+4)(x+9)(x+16)"….."(x+400), the coefficient ...

    Text Solution

    |