Home
Class 12
MATHS
The term independent of x in the expans...

The term independent of x in the expansion of `(2x^2-(3)/(x^3))^15` is

A

`""^15 C_2^8 3^7`

B

`-^15 C_9 2^10 3^5`

C

`""^15 C_9 2^15`

D

`""^15 C_9 3^6 2^9`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The term independent of x in the expansion of (x^2-(1)/(x))^6 is

The term independent of x in the expansion of (sqrtx-(2)/(sqrtx))^18 is

The term independent of 'x' in the expansion of (x^(2) + (1)/(x))^(12) is

Find the term independent of x in the expansion of (4x^(3)+(7)/(x^(2)))^(14)

Find the term independent of x in the expansion of ((2x^(2))/(5)+(15)/(4x))^(9)

Middle term in the expansion of (2x-(3)/(x))^15 is

The term independent of x in the expansion of (1 + x)^n (1 + 1/x)^n is

The term independent of x in the expansion of (1+x+2x^3) (3x^2//2-1//3x)^9 is

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The term independent of x in ((sqrtx)/(2)-(2)/(x^2))^10 is

    Text Solution

    |

  2. The term independent of x in the expansion of (sqrtx-(2)/(sqrtx))^18 i...

    Text Solution

    |

  3. The term independent of x in the expansion of (2x^2-(3)/(x^3))^15 is

    Text Solution

    |

  4. The term independent of x in (x^2 -1//3x)^9 is

    Text Solution

    |

  5. Independent term of (sqrtx-2//x)^18 is

    Text Solution

    |

  6. The term independent of x in the expansion of ((2sqrtx)/(5)-(1)/(2xsqr...

    Text Solution

    |

  7. The term independent of x in (x-1//x^2)^(3n) is

    Text Solution

    |

  8. The term independent of x in the expansion of (1+x+2x^3) (3x^2//2-1//3...

    Text Solution

    |

  9. the tern independent of x in (1+x +2x^2)(3x^2//2-1//3x)^9 is

    Text Solution

    |

  10. The term independent of x (x gt 0 , x ne 1) in the expansion of [((x+...

    Text Solution

    |

  11. If the absolute term (independent of x ) in the expansion of (sqrtx-k/...

    Text Solution

    |

  12. The greatest value of the term independent of x, as alpha varies over ...

    Text Solution

    |

  13. If Tr denotes the rth term in the expansion of (x+1//y)^23 then

    Text Solution

    |

  14. Which of the following expansion will have term containing x^3 ?

    Text Solution

    |

  15. The number of terms which are free from radical signs in the expansion...

    Text Solution

    |

  16. The number integral terms in the expansion of (sqrt3+root(8)(5))^256 i...

    Text Solution

    |

  17. The sum of the rational terms in expansion of (sqrt2+3^(1//5))^10 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |