Home
Class 12
MATHS
The numbers 1/3, 1/3 log (x) y, 1/3 log ...

The numbers `1/3, 1/3 log _(x) y, 1/3 log _(y) z, 1/7 log _(x) x ` are in H.P. If `y= x ^® and z =x ^(s ),` then `4 (r +s)=`

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|6 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

If "log"_(y) x = "log"_(z)y = "log"_(x)z , then

If log, y, log, x, log, z are in G.P. xyz 64 and x y, z' are in A.P., then

If x^(18)=y^(21)=z^(28) , then 3,3 log_(y)x,3log_(z)y,7log_(x)z are in

If x^(18)=y^(21)=z^(28) then 3, 3log_y x, 3log_z y, 7log_x z are in

VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

    Text Solution

    |

  2. If lim ( x to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

    Text Solution

    |

  3. The value of sum (r =1) ^(oo) (8r)/(4r ^(4) +1) is equal to :

    Text Solution

    |

  4. Three distinct non-zero real numbers form an A.P. and the squares of t...

    Text Solution

    |

  5. which term of an AP is zero -48,-46,-44.......?

    Text Solution

    |

  6. In an increasing sequence of four positive integers, the first 3 terms...

    Text Solution

    |

  7. The limit of (1)/(n ^(4)) sum (k =1) ^(n) k (k +2) (k +4) as n to oo i...

    Text Solution

    |

  8. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

    Text Solution

    |

  9. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

    Text Solution

    |

  10. The numbers 1/3, 1/3 log (x) y, 1/3 log (y) z, 1/7 log (x) x are in H...

    Text Solution

    |

  11. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

    Text Solution

    |

  12. The sum of the terms of an infinitely decreassing Geometric Progressio...

    Text Solution

    |

  13. A cricketer has to score 4500 runs. Let a (n) denotes the number of ru...

    Text Solution

    |

  14. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  15. Let f (n)=(4n + sqrt(4n ^(2) +1))/( sqrt(2n +1 )+sqrt(2n-1)),n in N th...

    Text Solution

    |

  16. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

    Text Solution

    |

  17. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

    Text Solution

    |

  18. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

    Text Solution

    |

  19. How many ordered pair (s) satisfy log (x ^(2) + (1)/(3) y ^(3) + (1)/(...

    Text Solution

    |

  20. Let a and b be positive integers. The values. The value of xyz is 55 a...

    Text Solution

    |