Home
Class 11
MATHS
If a is the G.M. of 2 and 1/4, find a...

If `a` is the G.M. of `2` and `1/4,` find `a`

Text Solution

Verified by Experts

Given, `a` is the G.M. of `2` and `1/4,`

Geometric mean relation

`y=sqrt(xz)`

`a=sqrt(2 times 1/4)`

`a=sqrt(1/2)`

`(Answer)`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|157 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|5 Videos

Similar Questions

Explore conceptually related problems

Find the G.M of 3,6,24,48

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G_1, G_2 and G_3 are three geometric means between l and n, then G_1^4+2G_2^4+G_3^4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

If a is A.M. of b and c and c, G_(1) , G_(2) ,b are in G.P., then find the value of G_(1)^(3)+G_(2)^(3)-2abc

If the G.M. of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then find the value of n.

If m is the A.M.of two distinct real numbers l and n(l,n>1) and G_(1),G_(2) and G_(3) are three geometric means between I and n then G_(1)^(4)+2G_(2)^(4)+G_(3)^(4) equals-

RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Find the geometric means of the following pairs of number: a^3b and a ...

    Text Solution

    |

  2. Find the geometric means of the following pairs of number: -8 and -2.

    Text Solution

    |

  3. If a is the G.M. of 2 and 1/4, find a

    Text Solution

    |

  4. Find the two numbers whose A.M. is 25 and GM is 20.

    Text Solution

    |

  5. If A and G are respectively arithmetic and geometric mean between posi...

    Text Solution

    |

  6. The sum of two numbers is 6 times their geometric mean, show that numb...

    Text Solution

    |

  7. If A.M. and GM. of roots of a quadratic equation are 8 and 5, respecti...

    Text Solution

    |

  8. If AM and GM of two positive numbers a and b are 10 and 8 respectively...

    Text Solution

    |

  9. If the fifth term of a G.P. is 2, then write the product of its 9 term...

    Text Solution

    |

  10. If (p+q)^(th) and (p-q)^(th) terms of a G.P. re m and n respectively, ...

    Text Solution

    |

  11. If (log)x a , a^(x//2) and (log)b x are in G.P., then write the value ...

    Text Solution

    |

  12. If the sum of an infinite decreasing G.P. is 3 and the sum of the squa...

    Text Solution

    |

  13. If p^(th), q^(th) and r^(th) terms of G.P. are x,y,x respectively then...

    Text Solution

    |

  14. If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M b...

    Text Solution

    |

  15. If second, third and sixth terms of an A.P. are consecutive terms of a...

    Text Solution

    |

  16. If A and G are respectively arithmetic and geometric mean between posi...

    Text Solution

    |

  17. If n geometric means are inserted between two quantities ; then the pr...

    Text Solution

    |

  18. If a=1+b+b^2+b^3+ to oo , then write b in terms of a given that abs(b)...

    Text Solution

    |

  19. If in an infinite G.P., first term is equal to 10 times the sum of all...

    Text Solution

    |

  20. If the first term of a G.P. a1, a2, a3, . . . is unity such that 4a2...

    Text Solution

    |