Home
Class 14
MATHS
If a ^(2) = by + cz, b ^(2)= cz + ax, c ...

If `a ^(2) = by + cz, b ^(2)= cz + ax, c ^(2) = ax + by, ` then the value of `(x)/(a + x) +(y)/(b + y) + (z)/(c + z)` is

A

1

B

a + b + c

C

`(1)/(a)+ (1)/( b) + (1)/( c)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - III) |17 Videos
  • ALGEBRA

    KIRAN PUBLICATION|Exercise Questions Asked In Previous SSC Exams (Type - IV) |59 Videos
  • ALGEBRA

    KIRAN PUBLICATION|Exercise Test Yourself |25 Videos
  • ALLIGATION OR MIXTURES

    KIRAN PUBLICATION|Exercise TEST YOURSELF|27 Videos

Similar Questions

Explore conceptually related problems

If a^2=by +cz " " b^2=cz+ax and c^2=ax+by , then the value of (x)/(a+x) + (y)/(b+y) +(z)/(c+z) will be

If (x^(2))/(by+cz)=(y^(2))/(cz+ax)=(z^(2))/(ax+by)=1 , then value of (a)/(a+x) +(b)/(b+y) +(c )/(c+z) is

If a^(2)+b^(2)+c^(2)=16,x^(2)+y^(2)+z^(2)=25 and ax+by+cz=20 then the value of (a+b+c)/(x+y+z)

(x^(2))/(by + cz) = (y^(2))/(ax + cz)= (z^(2))/(ax + by)=1 find (x)/(x+a) + (y)/(y+a) + (z)/(z+c) = ?

KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If a + b = 3 then the value of a^(3) + b^(3) + 9ab - 27 is

    Text Solution

    |

  2. If p^(3) - q^(3) = (p - q) {( p + q)^(2) - x p q } then the value o...

    Text Solution

    |

  3. If a ^(2) = by + cz, b ^(2)= cz + ax, c ^(2) = ax + by, then the valu...

    Text Solution

    |

  4. If a + b + c = 15 and (1)/(a) + (1)/(b) + (1)/( c) = (71)/(abc) then ...

    Text Solution

    |

  5. If k is the largest possible real number such that p^(4) + q^(4) = (p...

    Text Solution

    |

  6. A complete factorisation of ( x ^(4) + 64) is

    Text Solution

    |

  7. If a + b = 1 then a^(4) + b^(4) - a^(3) - b^(3)- 2a^(2) b^(2) + ab ...

    Text Solution

    |

  8. If a = 299, b = 298 , c = 297 then the value of 2a ^(3) + 2b ^(3) + 2...

    Text Solution

    |

  9. If x = 1 + sqrt(2) + sqrt(3) then the value of ( 2 x ^(4) - 8 x^(3...

    Text Solution

    |

  10. If x + y = 1 + xy then x^(3) + y^(3) - x^(3) y^(3) is equal to :

    Text Solution

    |

  11. If x^(2) - xy + y^(2) = 2 and x^(4) + x^(2) y^(2) + y^(4) = 6 then ...

    Text Solution

    |

  12. If (a ^(2) + b ^(2))/(c ^(2)) = (b ^(2) + c ^(2))/( a ^(2)) = (c ^(2) ...

    Text Solution

    |

  13. If 2x + (2)/(9x) = 4, then the value of 27 x ^(3) + (1)/( 27 x ^(3)) i...

    Text Solution

    |

  14. If xy (x + y) = m , then the value of x ^(2) + y ^(3) + 3m is ?

    Text Solution

    |

  15. If p + (1)/( p + 2) = 1, then the value of ( p+2) ^(3) + (1)/((p + 2) ...

    Text Solution

    |

  16. If x + (1)/(x) ne 0 and x ^(3) + (1)/(x ^(3)) =0 then the value (x + (...

    Text Solution

    |

  17. If 2x - (2)/(x) = 1 ( x ne 0) , then the value of x ^(3) - (1)/(x ^(3)...

    Text Solution

    |

  18. Sum of the factors of 4 b ^(2) c ^(2) - (b ^(2) + c ^(2)- a ^(2)) ^(2)...

    Text Solution

    |

  19. If (4a - 3) ^(2) = 0 then 64 a ^(3) - 48 a ^(2) + 12 a + 13 is

    Text Solution

    |

  20. If a =101 then the value of a (a ^(2) -3a + 3) is

    Text Solution

    |