Home
Class 14
MATHS
If (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( ...

If ` (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( 4 c + 5) ^(2) = 0 ` then the value of `(a^(3) + b^(3) + c^(3) - 3abc)/( a^(2) + b^(2) + c^(2))` is

A

`1 (3)/(8)`

B

` 2 (3)/(8)`

C

`3 (3)/(8)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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

Find the value of a^(3)+b^(3)+c^(3)-3abc if a+b+c=5 and a^(2)+b^(2)+c^(2)=29

If a+b+c=7, and a^(2)+b^(2)+c^(2)=33 , then what is the value of a^(3)+b^(3)+c^(3)-3abc ?

If a+b+c=7 , and a^(2)+b^(2)+c^(2)=33 , then what is the value of a^(3)+b^(3)+c^(3)-3abc ?

KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If x = y = z " then " (( x + y + z)^(2))/( x^(2) + y^(2) + z^(2)) is ...

    Text Solution

    |

  2. The simplified value of following is ((3)/(15) a^(5) b^(6) c^(3) ...

    Text Solution

    |

  3. If (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( 4 c + 5) ^(2) = 0 then the v...

    Text Solution

    |

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

    Text Solution

    |

  5. If x =3sqrt( x^(2) + 11) - 2 , then the value of ( x^( 3) + 5 x ^(...

    Text Solution

    |

  6. If x, y and z are real numbers such that ( x - 3) ^(2) + ( y - 4...

    Text Solution

    |

  7. If ( x - 4) ( x^(2) + 4 x + 16 ) = x^(3) - p then p is equal to

    Text Solution

    |

  8. The simplified value of (1- ( 2xy )/( x ^(2) + y ^(2))) div ((x ^(3)...

    Text Solution

    |

  9. If a + b + c =0 then the value of (1)/((a + b ) (b + c)) + (1)/( (b ...

    Text Solution

    |

  10. if x ^(2) + y ^(2) + 2x + 1 =0, then the value of x ^(32) + y ^(35) is

    Text Solution

    |

  11. If x^(4)+2x^(3)+ax^(2)+bx+9 is a perfect square, where a and b are po...

    Text Solution

    |

  12. If a ^(2) + b ^(2) + c ^(2) = 16, x ^(2) + y ^(2) + z^(2) = 25 and ax...

    Text Solution

    |

  13. The value of x which satisfies the equation (x+a^(2)+2c^(2))/(b+c)+(x+...

    Text Solution

    |

  14. If a ^(3) = 117 + b ^(3) and a = 3 + b,then the value of a + b is :

    Text Solution

    |

  15. If a + (1)/(a) = - 2 then the value of a ^(1000) + a ^(-1000) is

    Text Solution

    |

  16. if a^(2) = b + c, b^(2) = a + c, c^(2) = b + a then what will be...

    Text Solution

    |

  17. If a, b, c and d satisfy the equations {:( a + 7b + 3c + 5d ...

    Text Solution

    |

  18. If (x)/(( b - c) ( b + c - 2a)) = (y)/(( c - a)( c + a- 2 b)) = (z)/(...

    Text Solution

    |

  19. If c + (1)/(c) = 3, then the value of (c-3) ^(7) + (1)/(c ^(7)) is

    Text Solution

    |

  20. If x = 3 sqrt(7) + 3 then the value of x ^(3) - 9 x^(2) + 27 x -...

    Text Solution

    |