Home
Class 10
MATHS
IF g1,g2g3 are three geometric means bet...

IF `g_1,g_2g_3` are three geometric means between "m" and "n". Then `g_1.g_3=g_2^2`=…….

A

mn

B

`m//n`

C

m-n

D

`m^n`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|378 Videos
  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|270 Videos

Similar Questions

Explore conceptually related problems

If m is the A.M. of two distinct real number l and n (l, n gt 1) and G_(1), G_(2) and G_(3) are three geometrc means between l and n then G_(1)^(4)+2G_(2)^(4)+G_(3)^(4) equals.

If g_(1), g_(2), g_(3) are three geometric means between two positive numbers a,b then g_(1) g_(3) =

If M_(g,x) is the geometric mean of N x's and M_(g,y) is the geometric mean of N y's, then the grometric mean M_(g) of the 2N values is

Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of (1)/(a) and (1)/(b) . If (1)/(M):G is 4:5 , then a: b can be

If one G.M. 'G' and two arithmetic means p and q be inserted between any two given number than G^(2) =

Derive the relation between K_(p) and K_(c) for the equilibrium reaction. N_(2)(g)+3H_(2)(g)hArr 2NH_(3)(g)

The harmonic mean of two numbers is 4. Their arithmetric mean is A and geometric mean is G. If G satisifies 2A + G^(2) = 27 , the numbers are

The harmonic mean of two numbers is 4 their arithmetic mean is A and geometric mean is G. if G satisfies 2A + G^(2) = 27, the numbers are

VGS PUBLICATION-BRILLIANT-PROGRESSIONS (MULTIPLE CHOICE QUESTION)-PROGRESSIONS (MULTIPLE CHOICE QUESTION)
  1. A circle with area A, is contained in the interior of a larger with ar...

    Text Solution

    |

  2. IF x ne y and the sequence x,a,a,y and x1,b1,b2,y each are in A.P., th...

    Text Solution

    |

  3. If a,b, and c are in G.P., with 1 lt a lt b lt x and n gt 1 is an inte...

    Text Solution

    |

  4. IF x,y,z are positive integers (numbers ) then……….

    Text Solution

    |

  5. IF S1+S3=K,S2, where S1,S2 and S3 are the sum of 'n' terms of the seri...

    Text Solution

    |

  6. Find the G.M. of the numbers 2,3 and 4.

    Text Solution

    |

  7. Find Sn of sqrt2+sqrt8+sqrt18+sqrt32+…..+n.

    Text Solution

    |

  8. Find the co-efficient of x^(99) in the polynomial (x-1)(x-2)(x-3)……..(...

    Text Solution

    |

  9. Find S, for the G.P. (-3)/4,3/16,3/64,.........

    Text Solution

    |

  10. Find the sum of the infinity of the G.P. 5,20/7,80/49,……..

    Text Solution

    |

  11. Which term of the series 1,2,4,8,……… is 256?

    Text Solution

    |

  12. IF g1,g2g3 are three geometric means between "m" and "n". Then g1.g3=g...

    Text Solution

    |

  13. The sum of the first three terms of a G.P is 39/10 and their product i...

    Text Solution

    |

  14. How many terms of a G.P.3,3^2,3^3,……….. Are needed to give the sum 120...

    Text Solution

    |

  15. Find the sum of the first 8 terms of 3,6,12,24,………

    Text Solution

    |

  16. IF the A.M and G.M of two numbers are 13 and 12 respectively. Find the...

    Text Solution

    |

  17. What is the G.M. of 6 and 24?

    Text Solution

    |

  18. Find the values of x so that (-2)/7,x,(-7)/2 are three consecutive ter...

    Text Solution

    |

  19. The 5^(th),8^(th) and 11^(th) terms of a G.P. are p,q and s respective...

    Text Solution

    |

  20. The product of two numbers is 91 and their A.M. is 10. Find the two nu...

    Text Solution

    |