Home
Class 14
MATHS
If x+y+z=0 then what is the value of (x^...

If `x+y+z=0` then what is the value of `(x^2)/(3z)+(y^3)/(3xz)+(z^2)/(3x)`?

A

0

B

xz

C

y

D

3y

Text Solution

Verified by Experts

The correct Answer is:
C
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 x+y+z=0, then what is the value of (3y^2+x^2+z^2)//(2y^2-xz) ?

If x + y + z = 0, then what is the value of (3y^2 + x^2 + z^2 )//(2y^2 - xz) ?

If x = 2+ sqrt3, y = 2- sqrt3 and z = 1, then what is the value of (x//yz) + (y//xz) + (z//xy) + 2[(1//x)+ (1//y) + (1//z)] ?

If x=3, y=2 and z=-1 , then the value of (x^3+y^3+1)/(y^3-z^3) is

Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0 , then the value of ((x+y)^(2))/(xy)+((y+z)^(2))/(yz)+((z+x)^(2))/(zx) is

KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If a + b =5, then the value of (a-3) ^(7) + (b-2) ^(7) is

    Text Solution

    |

  2. If x ^(2) - 2x + 1 = 0, then the value of x ^(4) + (1)/(x ^(4)) is

    Text Solution

    |

  3. If x+y+z=0 then what is the value of (x^2)/(3z)+(y^3)/(3xz)+(z^2)/(3x)...

    Text Solution

    |

  4. If m - n =2, nm = 15, (m gt n ) the value of ( m ^(2 ) - n ^(2)) ( m ...

    Text Solution

    |

  5. If xy + yz + zx = 1 then the value of (1 + y ^(2))/(( x + y) ( y + ...

    Text Solution

    |

  6. If x^(2) - 4 x + 1 = 0 then the value of (( x^(6) + 1)/( x^(3))) is

    Text Solution

    |

  7. If x = a+(1)/( a) and y = a - (1)/(a) then value of x^(4) + y^(4)...

    Text Solution

    |

  8. If (1)/( a) ( a^(2) + 1) = 3 then the value of (( a^(6) + 1)/( a^(...

    Text Solution

    |

  9. The third proportional of the following numbers ( x - y)^(2) , ( x^(...

    Text Solution

    |

  10. If x, y, z are the three roots of a^(3) - 7 a - 6 , then value of ...

    Text Solution

    |

  11. The sum of 6xy ( 2 x - 4z) , 3yz ( 2 x - 3 z) and 4 xz (3 y - 2 y...

    Text Solution

    |

  12. If x + y + z = 0 then (x^(2))/(yz) + (y^(2))/( zx)+ ( z^(2))/( xy)=...

    Text Solution

    |

  13. What is the simplified value of ( x^(32) + (1)/(x^(32)))( x^(8) + (1...

    Text Solution

    |

  14. If ( 3 x - 1)/( x) + ( 5 y - 1)/( y) + ( 7z - 1)/( z)=0 what is the ...

    Text Solution

    |

  15. If ( 11 - 13 x)/( x) + (11 - 13 y)/(y) + (11 - 13 z)/( z) = 5 then w...

    Text Solution

    |

  16. If (( 5 x - y))/( ( 5 x + y)) = (3)/( 7) , what is the value of (( 4 ...

    Text Solution

    |

  17. If x + y + z = 22 and xy + yz + zx = 35 , then what is the value of...

    Text Solution

    |

  18. If a^(4) + 1 =[ (a^(2))/( b^(2))] ( 4 b ^(2) - b ^(4) - 1) then what...

    Text Solution

    |

  19. If 3 x + 4 y - 2 z + 9 = 17 , 7 x + 2y + 11 z + 8 = 23 and 5x + 9y...

    Text Solution

    |

  20. If x + 3y - ( 2 z)/( 4) = 6 , x + (2)/(3) ( 2 y + 3 z) = 33 and (1...

    Text Solution

    |