Home
Class 11
MATHS
If the middle term in (a+b)^(10) " is " ...

If the middle term in `(a+b)^(10) " is " T_(r-1)` then r = `……`

A

6

B

5

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|1 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|16 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|58 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

Similar Questions

Explore conceptually related problems

The middle term in the expansion (x^(2)-1/(2x))^(20) is r than (r+3)^(th) term is ………

Show that the coefficient of the middle term in the expansion of (1+x)^(2n) is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1)

Find the middle term in expansion of : (1-2x+x^(2))^(n)

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

Find the middle term in expansion of : (2ax -b/(x^(2)))^(12)

Find the middle term (terms ) in the expansion of (x/a =a/x)^(10)

............ is the middle term in expansion of (2x+(1)/(2x))^(8) .

Let V_r denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T_r=V_(r+1) - V_r-2 and Q_r =T_(r+1) - T_r for r=1,2 T_r is always (A) an odd number (B) an even number (C) a prime number (D) a composite num,ber

If the coefficients of (r-5)^th and (2r - 1)^th terms in the expansion of (1 + x)^34 are equal, find r.

KUMAR PRAKASHAN-BINOMIAL THEOREM -TEXTBOOK BASED MCQS
  1. If the middle term in (a+b)^(10) " is " T(r-1) then r = ……

    Text Solution

    |

  2. The constant term in the expansion of (2x^(2)-1/x)^(12) is ……..

    Text Solution

    |

  3. The coefficient of the x^(21) in the expansion of (x+x^(2))^(20) is ……...

    Text Solution

    |

  4. The value of (sqrt(5)+1)^(5)-(sqrt(5)-1)^(5) is ………

    Text Solution

    |

  5. (1+x)^(10)=a(0)+a(1)x+a(2)x^(2)+……..+a(10)x^(10) then the value of (a(...

    Text Solution

    |

  6. The sum of the coefficient in the expansion (1+x-3x^(2))^(4331) is ………

    Text Solution

    |

  7. In the expansion of (2sqrt(2)+root4(7))^(100) the number of the term ...

    Text Solution

    |

  8. Dividing 5^(99) by 13 , the remainder is …………

    Text Solution

    |

  9. 9^(7) +7^(9) is divisible by …………

    Text Solution

    |

  10. sum(r=0)^(n).^(n)C(r)4^(r)=..........

    Text Solution

    |

  11. If (1+2x-3x^(2))^(5)=1+a(1)x+a(2)x^(2)+….+a(10)x^(10) then the value o...

    Text Solution

    |

  12. (2+sqrt(3))^(4)+(2-sqrt(3))^(4) = x+ ysqrt(3) then y = ………..

    Text Solution

    |

  13. In the expansion of (1+x)^(n) if the coefficients of the terms 5^(th) ...

    Text Solution

    |

  14. The constant term in the expansion of (x-1/(3x^(2)))^(9) is the ……… te...

    Text Solution

    |

  15. In the expansion of (1+x)^(21)+(1+x)^(22) +…….+(1+x)^(30) , the coeffi...

    Text Solution

    |

  16. In the expansion of (x+a)^(100)+(x-a)^(100) , there are ………… terms

    Text Solution

    |

  17. The middle term in the expansion (x^(2)-1/(2x))^(20) is r than (r+3)^(...

    Text Solution

    |

  18. In the expansion of (x^(4) -1/(x^(3)))^(15) if in the r^(th) temr , t...

    Text Solution

    |

  19. If 5^(th),6^(th) and 7^(th) terms in the expansion of (1+y)^(n) are in...

    Text Solution

    |

  20. If in the expansion of (a+b)^(n) , (T(2))/(T(3)) is equal to (T(3))/(...

    Text Solution

    |