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 `bc(1/a+1/b+1/c+1/d) = a+b+c+d`.

Promotional Banner

Topper's Solved these Questions

  • Statistics : Mean, Median, Ogive, Mode

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • SUJAPUR 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 abcd(1/a+1/b+1/c+1/d)^2 = (a+b+c+d)^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 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, 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 are in A.P. then show that, a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a)) and c((1)/(a)+(1)/(b)) are also in A.P.

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

UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

    Text Solution

    |

  2. If (a^3+3ab^2)/(3a^2b+b^3) = 63/62 the find (5a-3b):(3a-b).

    Text Solution

    |

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

    Text Solution

    |

  4. If (a+b)/(b+c) = (c+d)/(d+a) then prove that either c= a or a+b+c+d = ...

    Text Solution

    |

  5. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

    Text Solution

    |

  6. Prove that the front angle formed at the centre of a circle by an arc ...

    Text Solution

    |

  7. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  8. State and prove Pythagoras theorem.

    Text Solution

    |

  9. If two circles touch each other externally then the point of contact w...

    Text Solution

    |

  10. State and prove the convere of the Pythagoras theorem.

    Text Solution

    |

  11. Prove that two equal chords are equidistant from the centre of the cir...

    Text Solution

    |

  12. If two chords AB and CD of a circle with centre O, when produce inters...

    Text Solution

    |

  13. ABCD is a cyclic quadrilateral. The bisectors of angleDAB and angleBCD...

    Text Solution

    |

  14. In a isosceles triangle ABC , angleB is right angle. Bisector of angle...

    Text Solution

    |

  15. Draw a triangle ABC, whose AB = 4.5 cm , BC = 3.5cm and angleABC = 90^...

    Text Solution

    |

  16. Draw an equilateral triangle having each side of length 6.5 cm. Now dr...

    Text Solution

    |

  17. Draw a triangle ABC whose BC = 9 cm, AB = 7 cm and AC = 8cm. Now draw ...

    Text Solution

    |

  18. Draw a triangle having sides 6cm, 8 cm and 10 cm. Now draw the incircl...

    Text Solution

    |

  19. If cos theta - sin theta = sqrt2 sin theta, then show that cos theta+s...

    Text Solution

    |

  20. If the difference between two acute angles of a right angled triangle ...

    Text Solution

    |