Home
Class 12
MATHS
If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^...

If `(10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9` , then k is equal to (1) `(121)/(10)` (2) `(441)/(100)` (3) 100 (4) 110

A

`441/100`

B

100

C

110

D

`221/10`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+....+10(11)^(9)=k(10)^(9), then k is equal to (1)(121)/(10)(2)(441)/(100) (3) 100(4)110

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+"........"+(10)(11)^(9)=k(10)^(9) , then k is equal to

If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+..........+10(11)^(9)=k(10)^(9), then k is equal to:

If sum_(r=1)^(10)r(r-1)10C_(r)=k.2^(9), then k is equal to- -1

if 10^(9)+2*11^(1)*10^(8)+3*11^(2)*10^(7)+............+10*11^(9)=k*10^(9) then k equals to:

If sum_(i=1)^(10) ( (""^10C_(i-1))/(""^10C_i + ""^10C_(i-1) ))^3 = (k)/(11) , then k equals :

If 2^(10) + 2^(9) * 3^(1) + 2 ^(8) * 3^(2) + …. + 2 * 3^(9) + 3^(10) = S - 2^(11) , then S is equal to :

(6) (1)/(3)-:(3)/(10) of (11)/(9)+(5)/(6)

IF (5x-7y+10)/1=(3x+2y+1)/8=(11x+4y-10)/9 then what is x+y equal to

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

    Text Solution

    |

  2. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  3. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  4. Given an A.P. whose terms are all positive integers. The sum of its fi...

    Text Solution

    |

  5. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

    Text Solution

    |

  6. In a geometric progression, if the ratio of the sum of first 5 terms t...

    Text Solution

    |

  7. The sum of the first 20 terms common between the series 3 +7+11+15+.....

    Text Solution

    |

  8. Let G be the geometric mean of two positive numbers a and b, and M be ...

    Text Solution

    |

  9. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

    Text Solution

    |

  10. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

    Text Solution

    |

  11. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

    Text Solution

    |

  12. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">...

    Text Solution

    |

  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  14. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

    Text Solution

    |

  15. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

    Text Solution

    |

  16. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

    Text Solution

    |

  17. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

    Text Solution

    |

  18. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  19. Let a1, a2, a3, ....an,.........be in A.P. If a3 + a7 + a11 + a15 = 7...

    Text Solution

    |

  20. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

    Text Solution

    |