Home
Class 11
MATHS
If the middle term in the expansion of (...

If the middle term in the expansion of `(x/2+2)^8` is 1120, then find the sum of possible real values of `x`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

Find the middle term in the expansion of (x- 1/(2x))^12

Find the middle term in the expansion of (x + 2)^(6) .

Find the middle term in the expansion of (x/y-y/x)^7

Find the middle terms in the expansions of (x/3+9y)^10

Find the middle term in the expansion of (2x^2-1/x)^7

Find the middle term in the expansion of (2x^2-1/x)^7

Find the middle term in the expansion of : (x^2-2/x)^(10)

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

If p is a real number and the middle term in the expansion of ((p)/(2) + 2)^(8) is 1120, then find the value of p.

Find the middle term in the expansion of : (p/x+x/p)^9

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. For which of the following value of x, 5^(th) term is the numerically ...

    Text Solution

    |

  2. For natural numbers m ,n ,if(1-y)^m(1+y)^n=1+a1y+a2y^2+... , and a1=a2...

    Text Solution

    |

  3. If the middle term in the expansion of (x/2+2)^8 is 1120, then find t...

    Text Solution

    |

  4. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , t h e n C0-(C0+C1)+(C0+C1+C2)-(C0...

    Text Solution

    |

  5. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

    Text Solution

    |

  6. The value of ^n C1+^(n+1)C2+^(n+2)C3++^(n+m-1)Cm is equal to

    Text Solution

    |

  7. If (1+x)^n=C0+C1x+C2x2++Cn x^n , n in N ,t h e nC0-C1+C2-+(-1)^(n-1)C...

    Text Solution

    |

  8. The 10th term of (3-sqrt((17)/4+3sqrt(2)))^(20) is (a) a irrational nu...

    Text Solution

    |

  9. For the expansion (xsinp+x^(-1)cosp)^(10),(p in R), The greatest v...

    Text Solution

    |

  10. Let (1+x^2)^2(1+x)^n=sum(k=0)^(n+4)ak x^k. If a1, a2 and a3 are in ari...

    Text Solution

    |

  11. The middle term in the expansion of (x//2+2)^8 is 1120, then x in R i...

    Text Solution

    |

  12. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

    Text Solution

    |

  13. [(^nC0+^n C3+)-1/2(^n C1+^n C2+^n C4+^n C5]^2 + 3/4(^n C1-^n C2+^n C4 ...

    Text Solution

    |

  14. If sum(r=0)^(n)((r+2)/(r+1)).^n Cr=(2^8-1)/6 , then n is (A) 8 (B...

    Text Solution

    |

  15. Let f(x)=a0+a1x+a2x^2+...+an x^n and (f(x))/(1-x)=b0+b1x+b2x^2+...+bn ...

    Text Solution

    |

  16. If (1+x^(2))^(n) = underset(r=0)overset(n)suma(r)x^(r )= (1+x+x^(2)+x^...

    Text Solution

    |

  17. The value of sum(r=1)^(n+1)(sum(k=1)^n "^k C(r-1))( where r ,k ,n in ...

    Text Solution

    |

  18. If (x^2+x+1)/(1-x)=a0+a1x+a2x^2+ ,t h e nsum(r=1)^(50)ar is equal to 1...

    Text Solution

    |

  19. Find dy/dt , if y = (1 - cost)/(1 + cost) is

    Text Solution

    |

  20. The coefficient of x^9 in the expansion of (1+x)(1+ x^2)(1+x^3)....(1...

    Text Solution

    |