Home
Class 12
MATHS
The sum of the coefficient of x^32 and x...

The sum of the coefficient of `x^32 and x^-17` in `(x^4-(1)/(x^3))^15` is

A

0

B

1365

C

`-1365`

D

`2720`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (BINOMIAL COEFFICIENTS)|83 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)|68 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

Similar Questions

Explore conceptually related problems

Show that the sum of the coefficients of x^(25) and x^(-10) of (x^(4) -(1)/(x^(3)))^(15) is zero.

Show that the sum of the coefficients of x^(-6) and x^(-1) in (5x^(2)-(7)/(x^(3)))^(12) is positive.

The coefficient of x^(-17) in (x^4 - (1)/(x^3))^15 is

The sum of the coefficient of (1+2x-4x^2)^35 is

The coefficient of x^(-6) in (x^4-(1)/(x^ 2))^15 is

The coefficient of x^3 in (1-4x)^(1//2) is

Find the sum of the coefficients of x^(32) and x^(-18) in the expansion of (2x^(3)-(3)/(x^(2)))^(14) .

If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expansion of ((x^2)/(a)-(b)/(x))^11 zero, then

Find the coefficient of x^4 in (1 - 4x)^(-3//5)

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The sum of the rational terms in expansion of (sqrt2+3^(1//5))^10 is

    Text Solution

    |

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

    Text Solution

    |

  3. The sum of the coefficient of x^32 and x^-17 in (x^4-(1)/(x^3))^15 is

    Text Solution

    |

  4. If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expans...

    Text Solution

    |

  5. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

    Text Solution

    |

  6. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

    Text Solution

    |

  7. In the binomial expansion of (a-b)^n, n ge 5, the sum of 5th and 6th t...

    Text Solution

    |

  8. If the coefficient of rth and (r+1)th terms in the expansion of (3+7x)...

    Text Solution

    |

  9. If the coefficient of rth term and (r+1)th term in the expansion of (...

    Text Solution

    |

  10. If in the expansion of (1-x)^(2n-1), the coefficient of x^r is denoted...

    Text Solution

    |

  11. If the second term in the expansion (root(13)(a)+(a)/(sqrt(a^-1)))^(n)...

    Text Solution

    |

  12. If the coefficient of x in (x^2+k//x)^5 is 270 then k=

    Text Solution

    |

  13. If the coefficient of x^2 and x^3 in (3+kx)^9 are equal then k=

    Text Solution

    |

  14. If the coefficient of x^7 and x^8 in (2+x//3)^n are equal then n=

    Text Solution

    |

  15. If the coefficients of (2r+1)th term and (4r+5)th term in the expansi...

    Text Solution

    |

  16. If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11...

    Text Solution

    |

  17. Prove that : If the coefficients of (2r+4)^("th") and (r-2)^("nd") te...

    Text Solution

    |

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

    Text Solution

    |

  19. The ratio of the coefficient of x^10 in (1-x^2)^10 and the term of ind...

    Text Solution

    |

  20. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

    Text Solution

    |