Home
Class 11
MATHS
Find the coefficient of x^(20) in (x^2+2...

Find the coefficient of `x^(20)` in `(x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(18) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

Find the coefficient of x^7 in (x^2+(1/x))^11

The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40) is

Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4 .

Find the coefficients of x^(10) in the expansion of (1+x+x^(2))(1-x)^(8)

Find the coefficient of x in the expansion (1-x^2+2x^4)(1-1/x)^6.

Find the differential coefficient of: (x^(6)-1)/(x^(2)-1)

Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x^2)^(100)dot

Find the coefficient of x in (1-2x^3+3x^5)(1+x+1/x)^10 .

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Prove that sum(r=0)^n r(n-r)(.^nC r)^2=n^2(.^(2n-2)Cn)dot

    Text Solution

    |

  2. Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...

    Text Solution

    |

  3. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |

  4. The number of terms in the expansion of (a+b+c)^n where ninN is

    Text Solution

    |

  5. Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x...

    Text Solution

    |

  6. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

    Text Solution

    |

  7. Find the coefficient of x^k in1+(1+x)+(1+x)^2++(1+x)^n(0lt=klt=n)dot

    Text Solution

    |

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

    Text Solution

    |

  9. If aa n db are distinct integers, prove that a-b is a factor of a^n-b^...

    Text Solution

    |

  10. Find a, b and n in the expansion of (a+b)^(n) if the first three term...

    Text Solution

    |

  11. Find the coefficient of x^(25) in expansion of expression sum(r=0)^(50...

    Text Solution

    |

  12. If the sum of the coefficients of the first, second, and third terms ...

    Text Solution

    |

  13. If p+q=1, then show that sum(r=0)^nr^2^nCrp^rq^(n-r)=npq+n^2p^2

    Text Solution

    |

  14. If every pair from among the equations x^2+a x+b c=0. x^2+b x+c a=0,a ...

    Text Solution

    |

  15. Prove that ^mC1^n Cm-^m C2^(2n)Cm+^m C3^(3n)Cm-.....=(-1)^(m-1)n^mdot

    Text Solution

    |

  16. Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n

    Text Solution

    |

  17. Find the sum sum(r=0) .^(n+r)Cr .

    Text Solution

    |

  18. Find the value of (sumsum)(0leiltjlen) (i+j)(""^(n)C(i)+""^(n)C(j)).

    Text Solution

    |

  19. Find the sum sumsum(0lt=i<jlt=n-1)^n Cidot

    Text Solution

    |

  20. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

    Text Solution

    |