Home
Class 10
MATHS
If x prop y+z , y propz+x and z prop x+y...

If `x prop y+z , y propz+x` and `z prop x+y`, and the constant of variation are 1,m,n respectively, then prove that, `l/(l+1)+m/(m+1)+n/(n+1) = 1`

Promotional Banner

Topper's Solved these Questions

  • KANACHI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • Partnership Business

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

If x prop y, y prop z, z prop t and t prop x where the constants of variation are k, l, m, n then

If x prop y, y prop z and z prop x , find the product of three variation constant.

x prop y + z, y prop z + x and z prop x + y and three variation constants are k, l, m respectively. Then_______

if x prop z and y prop z , then xy prop z .

If x prop (y+z) , y prop (z+x) and z prop(x+y) and if k, l and m are the variation constants of them respectively , then prove that (k)/(k+1) +(l)/(l+1) +(m)/(m+1) =1 .

If x^2 prop yz ,y^2 prop zx and z^2 prop xy , then find the product of three variation constant

If x prop y then x^(n) prop

If x^2 prop yz, y^2 prop zx and z^2 prop xy , then the rlation among the three constants of variation is

If a prop b, b prop c, c prop d and d prop a , where the variation constants are k, l, m, n respectively then___

If x prop yz and y prop zx , show that z is a non zero constant.

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. Solve: (a+x)^(2//3)+2(a-x)^(2//3) = 3(a^2-x^2)^(1//3)

    Text Solution

    |

  2. Find the area of a sector of a circle with radius 6 cm if angle of the...

    Text Solution

    |

  3. If x prop y+z , y propz+x and z prop x+y, and the constant of variat...

    Text Solution

    |

  4. If x,y,z be variable quantities such that (x+y+z) is constant and (z+x...

    Text Solution

    |

  5. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

    Text Solution

    |

  6. The radii of two circles are 8 cm and 6 cm respectively. Find the diam...

    Text Solution

    |

  7. If ax+by prop sqrt(xy), then show that (ax)^2+(by)^2 prop xy,

    Text Solution

    |

  8. If y prop 1/x then show that x+y will be minimum when x=y.

    Text Solution

    |

  9. If a^2+b^2+c^2 =16, x^2+y^2+z^2 = 25 and ax+by+cz = 20, then show tha...

    Text Solution

    |

  10. At the starting of the year two friends Bhaskar and Indrajit starts a...

    Text Solution

    |

  11. Samiran and Monojit start a business with a capital of Rs. 60,000 and ...

    Text Solution

    |

  12. At the starting of the year two friends Bhaskar and Indrajit starts a...

    Text Solution

    |

  13. The value of a machine depreciates at the rate of 10% every year.It wa...

    Text Solution

    |

  14. The value of a plot of land increase by 3% every year. If the value of...

    Text Solution

    |

  15. By compound interest, the interest of a sum in the 2nd year is Rs. 880...

    Text Solution

    |

  16. If the compound interest of Rs.6400 in 18 months be Rs. 1008.80. Find ...

    Text Solution

    |

  17. Rs, 16820 is divided among two brothers aged 27 years and 25 years. Th...

    Text Solution

    |

  18. The simple interest in 3 years and compound interest in 2 years on a c...

    Text Solution

    |

  19. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

    Text Solution

    |

  20. The side BC of a triangle ABC is bisected at D; O is any point in AD. ...

    Text Solution

    |