Home
Class 11
MATHS
If A and B denote the coefficients of x^...

If A and B denote the coefficients of `x^(n)` in the
binomial expansions of `(1 + x)^(2n) and (1 + x)^(2n-1)` respectively, then

A

`A=B`

B

`2A=B`

C

`A=2B`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
N/a
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exericse 8.1|28 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exericse 8.2|24 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8E|20 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then A/B is

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^(2n) and (1+x)^(2n-1) respectively, find a/b .

If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) respectively, then find the value of (A)/(B) .

If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) respectively, then find the value of (A)/(B) .

The coefficients fo x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) are in the ratio

The coefficient of x^(n) in the expansion of ((1 + x)/(1-x))^(2), is

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8F
  1. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

    Text Solution

    |

  2. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

    Text Solution

    |

  3. If the second, third and fourth terms in the expansion of (x+y)^(n) be...

    Text Solution

    |

  4. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

  5. If a. b, c and d are the coefficients of 2nd, 3rd, 4th and 5th terms r...

    Text Solution

    |

  6. If the coefficients of x^7 and x^8 in the expansion of [2 +x/3]^n a...

    Text Solution

    |

  7. If A and B denote the coefficients of x^(n) in the binomial expansi...

    Text Solution

    |

  8. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

    Text Solution

    |

  9. If the coefficient of the rth, (r+1)th and (r+2)th terms in the expans...

    Text Solution

    |

  10. if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...

    Text Solution

    |

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

    Text Solution

    |

  12. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

    Text Solution

    |

  13. If the second, third and fourth terms in the expansion of (x+y)^(n) be...

    Text Solution

    |

  14. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

    Text Solution

    |

  15. if a,b,c and d are the coefficient of four consecutive terms in the ex...

    Text Solution

    |

  16. If the coefficients of x^(7) and x^(8) in the expansion of (2+x/3)^(n)...

    Text Solution

    |

  17. If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) a...

    Text Solution

    |

  18. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

    Text Solution

    |

  19. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expans...

    Text Solution

    |

  20. if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...

    Text Solution

    |