Home
Class 12
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 `agt 0` is __________.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos
  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 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 the sum of real number a^(-5),a^(-4),3a^(-3),1,a^8,an d a^(10) with a >0 is

The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^8,a n da^(10)w i t ha >0 is

Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a^4+1/(a^4)-39 is ____.

Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a^4+1/(a^4)-39 is ____.

The minimum number of real roots of (x^(2)+3x+a)(x^(2)+ax+1)=0 equals

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

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 cos(x+pi/3)+cos x=a has real solutions, then number of integral values of a are 3 sum of number of integral values of a is 0 when a=1 , number of solutions for x in [0,2pi] are 3 when a=1, number of solutions for x in [0,2pi] are 2

If the mean and the variance of the numbers a, b, 8, 5 and 10 are 6 and 6.8 respectively, then the value of a^(3)+b^(3) is equal to

VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  2. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  3. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

    Text Solution

    |

  4. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...

    Text Solution

    |

  5. Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...

    Text Solution

    |

  6. If m is the A.M of two distict real numbers l and n (l, n gt 1)and G1,...

    Text Solution

    |

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

    Text Solution

    |

  8. If alpha in (0,pi/2),t h e nsqrt(x^2+x)+(tan^2alpha)/(sqrt(x^2+x)) is ...

    Text Solution

    |

  9. If a1,a2,a3,....an are positive real numbers whose product is a fixed ...

    Text Solution

    |

  10. If a ,b ,c ,d are positive real umbers such that a=b+c+d=2,t h e nM=(a...

    Text Solution

    |

  11. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  12. A pack contains n cards numbered from 1 to n . Two consecutive numbere...

    Text Solution

    |

  13. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  14. Let (a1,a2,a3….,a11) be real numbers satsfying a1=15,27-2a2 gt 0 and ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

  17. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  18. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  19. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

    Text Solution

    |

  20. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |