Home
Class 14
MATHS
If 3 (a ^(2) + b ^(2) + c ^(2)) = (a + b...

If `3 (a ^(2) + b ^(2) + c ^(2)) = (a + b + c) ^(2),` then the relation between a,b and c is.

A

` a = b = c `

B

`a = b ne c `

C

` a lt b lt c `

D

` a gt b gt c `

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)% of b = b^(3)% of c and c^(4) % of a = b % of b, then the relation between a and b is (a) a = b (b) a = b^(2) (c ) a^(9) = b^(10) (d) a = b^(10)

If the arithmetic mean of 0, 5, 4, 3 is a , that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c , then the relation between a , b and c is a=b=c (b) a : b : c=3:2:4 (c) 4a=5b=c (d) a+b+c=12

If a^(2) + b^(2) + c^(2) = 2(a-b-c)-3 , then the value of 4a - 3b + 5c is

If ax^(2)+bx+c is exactly divisible by 2x-3 , then the relation between a , b and c is _______.

For H_(2) gas, C_(p) - C_(v) = a and for O_(2) gas C_(p) - C_(v) = b , so the relation between a and b is

KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If x = sqrt( 5) + 2 then the value of ( 2 x ^(2) - 3 x - 2)/( 3 x...

    Text Solution

    |

  2. If x^(2) + y^(2) + 1 = 2x then the value of x^(3) + y^(5) is

    Text Solution

    |

  3. If 3 (a ^(2) + b ^(2) + c ^(2)) = (a + b + c) ^(2), then the relation ...

    Text Solution

    |

  4. If x ( x - 3) = - 1 then the value of x^(3) ( x^(3) - 18) is

    Text Solution

    |

  5. If a ( a + b + c) = 45 , b ( a + b + c) = 75 and c (a + b + c) = 105 ...

    Text Solution

    |

  6. The factors of ( a^(2) + 4b ^(2) + 4b - 4ab - 2 a - 8) are

    Text Solution

    |

  7. The value of (1)/( a^(2) + ax + x^(2)) - (1)/( a^(2) - ax + x^(2)) + ...

    Text Solution

    |

  8. If x=11, the value of x ^(5) - 12 x ^(4) + 12 x ^(3) - 12 x ^(2) + 12 ...

    Text Solution

    |

  9. an example of an equality relation of two expressions in x, which of...

    Text Solution

    |

  10. The numerical value of (( a - b)^(2))/( ( b - c) ( c - a)) + (( b - c...

    Text Solution

    |

  11. If 6 x ^(2) - 12 x + 1 = 0 then the value of 27 x^(3) + (1)/( 8 x^(...

    Text Solution

    |

  12. If x = p + (1)/(p) and y = p - (1)/( p) then the value of x^(4) - 2...

    Text Solution

    |

  13. If a + b + c = 0 then the value of ( a + b - c )^(2) + ( b + c - ...

    Text Solution

    |

  14. If p^(3) + 3 p^(2) + 3p = 7 then the value of p^(2) + 2 p is

    Text Solution

    |

  15. If x = y + z then x^(3) - y^(3) - z^(3) is

    Text Solution

    |

  16. If 3 a ^(2) = b^(2) ne 0 then the value of (( a + b) ^(3) - ( a - ...

    Text Solution

    |

  17. The value of ( 4 x ^(3) - x)/( ( 2 x + 1) ( 6 x - 3)) when x = 9999 i...

    Text Solution

    |

  18. If a^(3) + b^(3) = 9 and a + b = 3 then the value of (1)/( a) + (...

    Text Solution

    |

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

    Text Solution

    |

  20. If 3 sqrt( a) + 3 sqrt( b) = 3 sqrt( c) , then the simplest value of...

    Text Solution

    |