Home
Class 11
MATHS
The coefficient of x^(49) in the product...

The coefficient of `x^(49)` in the product `(x-1)(x-3)(x-99)i s` a. `-99^2` b. `1` c. `-2500` d. none of these

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Coefficient of x^99 in the polynomial (x-1) (x-2)....(x-100) is

If f(x)=1-x+x^2-x^3+. . -x^(15)+x^(16)-x^(17) , then the coefficient of x^2 in f(x-1) is a. 826 b. 816 c. 822 d. none of these

The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)

The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)) is 2^(20)-2^(19) b. 1-2^(20) c. 2^(20) d. none of these

The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. 496 c. 506 d. 528

In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coefficients of x^5a n dx^(10) is zero , then n is a. 25 b. 20 c. 15 d. none of these

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these

The coefficient of x^(1274) in the expansion of (x+1)(x-2)^(2)(x+3)^(3)(x-4)^(4)…(x+49)^(49)(x-50)^(50) is

If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none of these

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. The sum 1+3+7+15+31+...to100 terms is a. 2^(100)-102 b. 2^(99)-101 c...

    Text Solution

    |

  2. The sum of first 15 terms of an A.P. is 750 and its first term is 15. ...

    Text Solution

    |

  3. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

    Text Solution

    |

  4. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

    Text Solution

    |

  5. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

    Text Solution

    |

  6. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then val...

    Text Solution

    |

  7. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is a. 7//16 b. 5//16 ...

    Text Solution

    |

  8. The sum 20 terms of a series whose rth term is given by Tr=(-1)^r((r^2...

    Text Solution

    |

  9. Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th te...

    Text Solution

    |

  10. If the first term of an A.P. is – 18 and its 10th term is zero, then f...

    Text Solution

    |

  11. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

    Text Solution

    |

  12. If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of...

    Text Solution

    |

  13. The first and the last terms of an A.P. are 17 and 350 respectively. I...

    Text Solution

    |

  14. If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a).2a b c (...

    Text Solution

    |

  15. The number of terms of an A.P. is even. The sum of the odd terms is 24...

    Text Solution

    |

  16. The first term of an A.P. is 5, the last term is 45 and the sum is 400...

    Text Solution

    |

  17. If the sum of m terms of an A.P. is the same as the sum of its n terms...

    Text Solution

    |

  18. Find the 20th term of the A.P. whose 7th term is 24 less than the 11th...

    Text Solution

    |

  19. About 150 workers were engaged to finish a piece of work in a certain ...

    Text Solution

    |

  20. in a G.P (p+q)th term = m and (p-q) th term = n , then find its p th t...

    Text Solution

    |