Home
Class 12
MATHS
In the polynomial (x-1) (x-2) (x-3) …(x-...

In the polynomial `(x-1) (x-2) (x-3) …(x-100),` the coefficient of `x ^(99)` is-

A

`99`

B

`-5050`

C

`5050`

D

`-99`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 33|1 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (x-1)(x-2)...(x-18) the coefficient of x^(17) is

If in the expansion of (1+ x )^(m) (1-x) ^(n) the coefficient of x and x ^(2) are 3 and (-6) respectively, then the value of n is-

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

If x be a factor of the polynomial p(x) = (x - 1) (x - 2) (x - 3), then p(0) =

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is (a) -4 (b) -2 (c) -6 (d) 0

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by 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

Find the zero of the polynomial f(x)=x^(2)-3x+2 .

If m be a whole number, then determine the degree of the polynomial (x^(m)+x^(m-1)+x^(m-2)+.......+x+1) . Also find the co-efficient of x^(m-3) of the polynomial.

The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a decreasing function of x, is-

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 3
  1. If A and B are the coefficients of x ^(p) and x ^(q) respectively in t...

    Text Solution

    |

  2. Elevent books consisting of 5 mathematics, 4 physics and 2 chemistry a...

    Text Solution

    |

  3. In the polynomial (x-1) (x-2) (x-3) …(x-100), the coefficient of x ^(9...

    Text Solution

    |

  4. Six line segments of lengths 2,3,4,5,6,7 units are given. The number o...

    Text Solution

    |

  5. For all positive values of x and y the value of ((1+x+x^(2))(1+y+y^(2)...

    Text Solution

    |

  6. The point represented by the complex number (2-i) is rotated about ori...

    Text Solution

    |

  7. The number of integral solutions of (x+1)/(x^(2)+4) ge 1/4 is-

    Text Solution

    |

  8. The solution set of the inequation of (x-2)/(x+5)gt2 is-

    Text Solution

    |

  9. If x,y,z are in A. P. then (1)/(yz) , (1)/(zx), (1)/(xy) are in-

    Text Solution

    |

  10. The condition theta x^(3) -2px+2q may be divisible by a factor of the ...

    Text Solution

    |

  11. The value of (1+(C(1))/(C(0))) (1+ (C(2))/(C(1)))(1+ (C(3))/(C(2))).....

    Text Solution

    |

  12. The area of the triangle whose vertices are represented by the complex...

    Text Solution

    |

  13. The natural number n for which the inequality 2 ^(n) gt 2n+1 is valid,...

    Text Solution

    |

  14. A boy goes to school from his home at a speed of x km/h and comes back...

    Text Solution

    |

  15. A real value of x will satisfy the equation (3- i4x)/(3+i4x)= alpha -I...

    Text Solution

    |

  16. If (1+x) ^(15) =a(0) +a(1) x +a(2) x ^(2) +…+ a(15) x ^(15), then the ...

    Text Solution

    |

  17. If a,b, x in R, a lt b and y =(x^(2) -ab)/(2x-a -b), then-

    Text Solution

    |

  18. There are n distinct points on the circumference of a circle. If the n...

    Text Solution

    |

  19. Two roots of the quadratic equation 3x ^(2)+7i x+6 =0 are-

    Text Solution

    |

  20. How many zeros are there in (126) !?

    Text Solution

    |