Home
Class 10
MATHS
If a,b,c,d are in continued proportion t...

If a,b,c,d are in continued proportion then show that `abcd(1/a+1/b+1/c+1/d)^2 = (a+b+c+d)^2`.

Promotional Banner

Topper's Solved these Questions

  • HOOGHLY COLLIGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • JHOWDANGA SAMMILANI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

If a,b,c,d are in continued proportion then show that bc(1/a+1/b+1/c+1/d) = a+b+c+d .

If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+(b-d)^2= (a-d)^2 .

If a,b,c are in continued proportion, then show that 1/b^2= 1/(b^2-a^2)+1/(b^2-c^2)

If a,b,c, are in continued proportion then prove that a^2b^2c^2(1/a^3+1/b^3+1/c^3)= a^3+b^3+c^3 .

If a, b, c, d are in continued proportion, then prove that (b -c)^(2) + (c -a)^(2) + (b-d)^(2) = (a -d)^(2)

If a, b, c be in continued proportional, then prove that a^2 b^2 c^2 (1/a^3 + 1/b^3+1/c^3) =a^3 +b^3+c^3

If a, b, c, d are four distinct numbers in A.P. , show that 1/a + 1/d gt 1/b + 1/c gt 4/(a + d)

If a/b = c/d ,then show that bd ((a+b)/b + (c+d)/d)^(2) = 4 (a + b) (c + d)

If a, b, c, d are in A.P. and a, b, c, d are in G.P., show that a^(2) - d^(2) = 3(b^(2) - ad) .

UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, t...

    Text Solution

    |

  2. If x= (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)), then show that ...

    Text Solution

    |

  3. If a,b,c,d are in continued proportion then show that abcd(1/a+1/b+1/c...

    Text Solution

    |

  4. If x = cy+bz, y =az+cx, z = bx+ay then prove that x^2/(1-a^2)=y^2/(1-b...

    Text Solution

    |

  5. State and Prove Pythagoras theorem.

    Text Solution

    |

  6. Prove that the tangent and the radius through the point of contact of ...

    Text Solution

    |

  7. Two tangents are draw from an external point A to the cirle with centr...

    Text Solution

    |

  8. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

    Text Solution

    |

  9. Draw a circle with radius 2.8 cm in length. Take point apart from the ...

    Text Solution

    |

  10. Geometrically find the value of sqrt(38) (only traces of construction ...

    Text Solution

    |

  11. If sec theta+ tan theta = 2+sqrt5, show that sin theta+ cos theta = 3/...

    Text Solution

    |

  12. If alpha and beta are complementary angles to each other, the find the...

    Text Solution

    |

  13. If sec theta = (2xy)/(x^2+y^2) possible? When x and y are positive rea...

    Text Solution

    |

  14. From the bottom of a 'tila' the angle of elevation of its unreachable ...

    Text Solution

    |

  15. A spherical ballon of radius r while floating in the sky, makes an ang...

    Text Solution

    |

  16. Two parallel planes which are parallel to the base of a right circular...

    Text Solution

    |

  17. A cylindrical vessel of radius 4 cm contains water. A solid sphere of ...

    Text Solution

    |

  18. The height and diameter of each of three right circular cylinders are ...

    Text Solution

    |

  19. Calculate the mean of the following frequency distribution table.

    Text Solution

    |

  20. If the median of the following frequency distribution is 27, then find...

    Text Solution

    |