Home
Class 12
MATHS
If nine arithmetic means and nine harmon...

If nine arithmetic means and nine harmonic means are inserted between 2 and 3 alternatively, then prove that `A+6//H=5` (where `A` is any of the A.M.'s and `H` the corresponding H.M.)`dot`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the 5th harmonic mean when n harmonic means are inserted between 1 and 2.

If six harmonic means are inserted between 3 and (6)/(23) , then the fourth harmonic mean is

Insert 3 arithmetic means between 5 and 21.

Insert 6 harmonic means between 3 and (6)/(23)

If n arithmetic means xare inserted between 1 and 31 such that the 7^(th) mean: the (n+1)^(th) mean =5:9 then prove that n=14

If 3 arithmetic means, 3 geometric means and 3 harmonic means are inserted between 1 and 5, then the cubic equation whose roots are first A.M., second G.M. and third H.M. between 1 and 5, is

Insert four H.M.s between 2/3 and 2/13

Insert three arithmetic mean (AM) between 6 and 18.

If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?

RESONANCE DPP-JEE MAINS-All Questions
  1. If 25C0 25C2 +2. 25C1 25C3 +3. 25C2 .25C4+....+ 24. 25C23.25C25=k. 4...

    Text Solution

    |

  2. int((1+(log)e x)^2)/(1+(log)e x^(x+1)+((log)e x^(sqrt(x)))^2)dx=

    Text Solution

    |

  3. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  4. Let ABC be an isosceles triangle with base BC whose length is 'a'. If ...

    Text Solution

    |

  5. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

    Text Solution

    |

  6. Number of natural numbers between 100 & 1000 such that at least one of...

    Text Solution

    |

  7. Find the solutions of the equation, (log)(sqrt(2)sin"x")(1+cosx)=2, in...

    Text Solution

    |

  8. Let vec a , vec b , vec c be three unit vectors such that | vec a+ v...

    Text Solution

    |

  9. A person throws dice, one the common cube and the other reglowest tera...

    Text Solution

    |

  10. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  11. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

    Text Solution

    |

  12. A bag contains 50 tickets numbered 1,2,3..., 50 of which five are draw...

    Text Solution

    |

  13. The probability of choosing a number divisible by 6 or 8 from among 1 ...

    Text Solution

    |

  14. Two fair dice are rolled together, one of the dice showing 4, then the...

    Text Solution

    |

  15. In how many ways can 5 colours be selected out of 8 different colours ...

    Text Solution

    |

  16. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  17. In a A B C(b csin^2A)/(cos A+cosB cos C) is equal to b^2+C^2 b.b c ...

    Text Solution

    |

  18. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

  19. If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 ,...

    Text Solution

    |

  20. Let E={1,2,3,4}a n dF-{1,2}dot If N is the number of onto functions fr...

    Text Solution

    |