Home
Class 14
MATHS
The minimum value of the sum of real num...

The minimum value of the sum of real numbers `a^(-5),a^(-4),3a^(-3),1,a^(8)" and "a^(10)" with "agt0` is

A

8

B

9

C

3

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^(8) and a^(10) with a>0 is

The minimum value of 3cox + 4 sinx + 8 is

The sum of two non-zero numbers is 8 ,the minimum value of the sum of their reciprocals is (1)/(4) (b) (1)/(2) (c) (1)/(8) (d) none of these

If a>0, then minimum value of a+2a^(2)+a^(3)+15+a^(-1)+a^(-3)+a^(-4) is

The value of the expression sum_(theta=0)^(8)(1)/(1+tan^(3)(10 theta)^(@)) equals

If a,b,c are non-zero real numbers, then the minimum value of the expression ((a^(8)+4a^(4)+1)(b^(4)+3b^(2)+1)(c^(2)+2c+2))/(a^(4)b^(2)) equals

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. If apq=9b and a, b, p, q are positive real numbers, find the minimum v...

    Text Solution

    |

  2. kamal goes to a place at a speed of 10 km/hr and return home at speed ...

    Text Solution

    |

  3. The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a...

    Text Solution

    |

  4. If a,b,c are positive real numbers then (1+a)^7(1+b)^7)1+c)^7 (A) lt7^...

    Text Solution

    |

  5. The least positive integer n for which ((1+i sqrt3)/(1-isqrt3))^(n)=1,...

    Text Solution

    |

  6. A bacteria gives birth to two new bacterias in each second and the lif...

    Text Solution

    |

  7. Find the sum of 6 terms of the series 2+6+18+…..

    Text Solution

    |

  8. If Um be defined as the sum of m terms of the series V, where V=Sm+S(m...

    Text Solution

    |

  9. Let a1 , a2 ,a3, …., an be an A.P. and S1 , S2 and S3 be the sum of fi...

    Text Solution

    |

  10. Consider the sets T(n)={n, n+3, n+5, n+7, n+9} where n=1,2,3,.....,9...

    Text Solution

    |

  11. If {x} is the least integer greater than or equal to x, then find the ...

    Text Solution

    |

  12. If [x] is the greatest integer less than or equal to x, then find the ...

    Text Solution

    |

  13. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  14. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  15. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  16. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  17. The number of ways in which 13 gold coins can be distributed among thr...

    Text Solution

    |

  18. Shaan got a total of Rs. 912 in the denomination of equal numbers of R...

    Text Solution

    |

  19. King Dashratha of Ayodhya on his birthday decided to offer 100 coins o...

    Text Solution

    |

  20. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

    Text Solution

    |