Home
Class 9
MATHS
If aY+z)=b(z+x)=c(x+y) and out of a,b,c ...

If `aY+z)=b(z+x)=c(x+y)` and out of a,b,c no two of them are equal then show that, `(y-z)/(a(b-c))=(z-x)/(b(c-a))(x-y)/(c(a-b))`

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

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)

The angle between the plane ax+by+cz+d=0 and the line (x-1)/(a)=(y-2)/(b)=(z-3 )/(c) is

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 .

Without expanding determinant show that |(xa,yb,zc),(a^2,b^2,c^2),(1,1,1)|=|(x,y,z),(a,b,c),(bc,ca,ab)|

Without expanding the determinants, show that |(1,x,x^2),(1,y,y^2),(1,z,z^2)|=(y-x)(z-y)(z-x)

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 .

CHETANA PUBLICATION-RATIO AND PROPORATION-Exercise
  1. If aY+z)=b(z+x)=c(x+y) and out of a,b,c no two of them are equal then ...

    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

    |