Home
Class 9
MATHS
If (ax+by)/(x+y)=(bx+az)/(x+z)=(ay+bz)/(...

If `(ax+by)/(x+y)=(bx+az)/(x+z)=(ay+bz)/(y+z)` and `x+y+z=!0` then show that each ratio is `(a+b)/2`

Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORATION

    CHETANA PUBLICATION|Exercise Exercise|66 Videos

  • POLYNOMIALS

    CHETANA PUBLICATION|Exercise Exercise|80 Videos

  • REAL NUMBERS

    CHETANA PUBLICATION|Exercise Exercise|59 Videos

Similar Questions

Explore conceptually related problems

If (x)/(y+z-x)=(y)/(z+x-y)=(z)/(x+y-z) and x+y+z=0 then show that each ratio is equal to .

If x/(x+2y+z) = y/(y+2z+x) = z/(z+2x +y) and x+y+z !=0 , then show that each ratio is equal to 1/4 .

If (3x-5y)/5z+3y)=(x+5z)/(y-5x)=(y-z)/(x-z) then show that each ratio is x/y .

If x/(3x-y-z)=(y)/(3y-z-x)=(z)/(3z-x-y) and x+y+z=0 then show that the value of each of the ratio is equal to 1.

If x/(3x-y-z) =y/(3y-z-x) =z/(3z-x-y) and x+y+z != 0 , then show that the value of each raio is equal to 1.

If (2x-3y)/(3z+y)=(z-y)/(z-x)=(x+3z)/(2y-3x) , then prove that every ratio is x/y

If (a)/(y+z-x)=(b)/(z+x-y)=©/(x+y-z) then show that (x)/(b+c)=(y)/(c+a)=(z)/(a+b)

If (y+z)/(a)=(z+x)/(b)=(x+y)/© then show that (x)/(b+c-a)=(y)/(c+a-b)=(z)/(a+b-c)

CHETANA PUBLICATION-RATIO AND PROPORATION-Exercise
  1. If (ax+by)/(x+y)=(bx+az)/(x+z)=(ay+bz)/(y+z) and x+y+z=!0 then show th...

    Text Solution

    |

  2. If 6:5=y:20 then what will be the value of y?

    Text Solution

    |

  3. What is the ratio of 1nm to cm?

    Text Solution

    |

  4. The ages of Jatin, Nitin, and Mohasin are 16, 24 and 36 years respecti...

    Text Solution

    |

  5. 24 bananas were distributed between Shubham and Anil in the ratio 3:5 ...

    Text Solution

    |

  6. What is the mean proportional of 4 and 25?

    Text Solution

    |

  7. The ratio of 161 to 115 in the simplest form is …….

    Text Solution

    |

  8. 5/4……sqrt(3)/sqrt(2)

    Text Solution

    |

  9. If p/q=6/5 then the value of (p^3-q^3)/q^3=……

    Text Solution

    |

  10. If 4.8,6.0,x and 8.5 are in proportion then the value of x is………

    Text Solution

    |

  11. The ratio of rs. 11 and rs. 15 and paise 40 is ……..

    Text Solution

    |

  12. the adjacent sides of a rectangle are in the ratio 5:3 and the area of...

    Text Solution

    |

  13. The mean proportional of 8 and 32 is …………

    Text Solution

    |

  14. 63/60=…..%

    Text Solution

    |

  15. The ratio fo 63, 36 in the least form is …………

    Text Solution

    |

  16. the ratio of two numberss is 3:5 and their sum 360 the numbers are…………

    Text Solution

    |

  17. if p/q=6/5 then the value of (a-b)/b is …………

    Text Solution

    |

  18. the mean proportional of 6 and 24 is…………

    Text Solution

    |

  19. If p/q=6/5 then the value of (3p+4q)/(3p-4q) is………….

    Text Solution

    |

  20. what number should be added to each term of the ratio 2:5 so that is m...

    Text Solution

    |

  21. The mean proportional of ak and ak^3 is………..

    Text Solution

    |