Home
Class 12
MATHS
If f(x)=(x-1)(x-2)(x-3).......(x-50) fi...

If `f(x)=(x-1)(x-2)(x-3).......(x-50)` find coeff. of `x^50` and `x^49`

A

`-2250`

B

`-1275`

C

`1275`

D

2250

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-1 (CONCEPT BUILDER )|60 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

If (x)=(x-1)(x-2)(x-3)......(x-50) find coeff.of x^(50) and x^(49)

f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0, find f(x)

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0, find f(x).

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

If f(x)=x^(2) and g(x)=3x. Then find gof(x),x=1,2,3.

If ((9)/(10))^(3) -(2/5)^(3)-(1/2)^(3)=(x)/(50) , find x

Let a_(r)=r^(2)(^(50)C_(r))/(^(50)C_(r-1)) and b denotes the coefficient of x^(49) in (x-a_(1))(x-a_(2))......(x-a_(50)) , find (-(1)/(17))b .

If 2f(x)+3f(-x)=x^(2)-x+1, find the value of f'(1)

If f(x)=x^2 -3x +1 find x in R such that f(2x)=f(x).

DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
  1. What is the last digit of 3^(3^(4n)) +1, where n is a natural number?

    Text Solution

    |

  2. Find the coefficient of x^5 in (1+2x+3x^2...........)^(-3/2)

    Text Solution

    |

  3. If f(x)=(x-1)(x-2)(x-3).......(x-50) find coeff. of x^50 and x^49

    Text Solution

    |

  4. If n is a positive integer, then (sqrt3 +i)^n+(sqrt3 -i)^n is

    Text Solution

    |

  5. Prove that (C0+C1)(C1+C2)(C2+C3)(C(n-1)+Cn)=(n+1)^n/(n!).c0.C1.C2........

    Text Solution

    |

  6. If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n is

    Text Solution

    |

  7. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

    Text Solution

    |

  8. If coefficient of a^2b^3c^4in(a+b+c)^m(w h e r em in N)i sL(L!=0) , t...

    Text Solution

    |

  9. The number of dissimilar terms in the expansion of (a+b)^(n) is n+1, ...

    Text Solution

    |

  10. The sum of rational term in (sqrt(2)+3 3+5 6)^(10) is equal to 12632 b...

    Text Solution

    |

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

    Text Solution

    |

  12. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

    Text Solution

    |

  13. The coefficients of x^(13) in the expansion of (1 - x)^(5) (1 + x...

    Text Solution

    |

  14. If x is so small that x^3 and higher powers of x may be neglectd, then...

    Text Solution

    |

  15. If (r+1)^(th) term is (3.5...(2r-1))/(r!) (1/5)^(r), then this is th...

    Text Solution

    |

  16. The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(...

    Text Solution

    |

  17. If the third in the expansion of [x + x^(log 10x)]^(6) is 10^(6) ,...

    Text Solution

    |

  18. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

  19. The middle term in the expansion of (1+(1)/(x^(2)))^n ( 1+x^(2))^(n) i...

    Text Solution

    |

  20. If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...

    Text Solution

    |