Home
Class 12
MATHS
The term independent of x in (1+x)^n (1+...

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

A

`C_0^2 + 2. C_1^2 + 3. C_2^2 + …...+ (n+1). C_n^2`

B

`(C_0 + C_1 + C_2 + …..+ C_n)^2`

C

`C_0^2+ C_1^2 + C_2^2 +…..+ C_n^2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • 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 - 1|4 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)|149 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

Find the term independent of x in (1+3x)^(n)(1+(1)/(3x))^(n) .

Term independent of x in (1+4x)^p (1+(1)/(4x) )^q is :

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

the term independent of x in (x+1//x)^6 is

Term independent of x in (x - 1/x)^4 (x + 1/x)^3 is

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

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

The term independent of x in (2x^(1//2)-3x^(-1//3))^20

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

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1B (BINOMIAL COEFFICIENTS)
  1. C0 - C2 + C4 - C6 +….....

    Text Solution

    |

  2. C1 - C3 + C5 - C7 + …...

    Text Solution

    |

  3. The term independent of x in (1+x)^n (1+(1)/(x))^n is

    Text Solution

    |

  4. If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) then sum(r=0)^(n)(r)/(""^(n)C(r))...

    Text Solution

    |

  5. If x+y=1, then sum(r=6)^(n) r ^n Cr x^r . Y^(n-r)=

    Text Solution

    |

  6. If x+y=1 then sum(r=0)^(n) r^2. ^(n) Cr x^r .y^(n-r)=

    Text Solution

    |

  7. the value of (1)/((81)^n)-^(2n) C1. ((10)^2)/((81)^n)+ ^(2n) C1 ((10)^...

    Text Solution

    |

  8. There are two bags each of which contains n balls. A main has to selec...

    Text Solution

    |

  9. The sum of the coefficient of (1+2x-4x^2)^35 is

    Text Solution

    |

  10. The sum of the coefficients of (5x-4y)^n where n is positive integer, ...

    Text Solution

    |

  11. The sum of the coefficients in the expansion of (1+x-3x^2)^(171) is

    Text Solution

    |

  12. The sum of the coefficients of even powers of x in the expansion of (1...

    Text Solution

    |

  13. The sum of the coefficients of even powers of x in the expansion of (...

    Text Solution

    |

  14. The sum of the coefficients of odd powers of x in the expansion of (1+...

    Text Solution

    |

  15. The sum of coefficients of odd powers of x in the expansion of (1+x-x^...

    Text Solution

    |

  16. The sum of coefficients of integral powers of x in the binomial expans...

    Text Solution

    |

  17. Sum of the last 30 coefficients in the expansion of (1+x)^59, when exp...

    Text Solution

    |

  18. If the sum of the coefficients of (x+y)^n is 4096 , then the greatest ...

    Text Solution

    |

  19. If the sum of the coefficients of (1+2x)^n is 6561 then the value of n

    Text Solution

    |

  20. If the sum of the coefficients in the expansion of (1-3x+10x^2)^n is a...

    Text Solution

    |