Home
Class 14
MATHS
If a+b+c=0 then a^(2)+b^(2)+c^(2) is...

If `a+b+c=0` then `a^(2)+b^(2)+c^(2)` is

A

0

B

`2(a^(2)-bc)`

C

`-4(ab+bc+ca)`

D

`-2(ab+bc+ca)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 13.2|22 Videos

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|32 Videos

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|32 Videos

  • DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|47 Videos

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then the value of a^(4)+b^(4)+c^(4) is

If a+b+c=0 and a^(2)+b^(2)+c^(2)=16, find the value of ab+bc+ca

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1 then find the value of 2(a^(4)+b^(4)+c^(4))

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then the value of a^(4)+b^(4)+c^(4) is 1 b.4 c.(1)/(2) d.(1)/(4)

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then (a) ab+bc+ca=(1)/(2)( b) ab+bc+ca=(1)/(2)( c) a^(4)+b^(2)+c^(4)=(1)/(2)( d) a^(4)+b^(4)+c^(4)=(3)/(2)

If a+b+c =0 and a^(2)+b^(2)+c^(2)-ab-bc -ca ne 0, AA a, b, c in R then the system of equations ax+by+cz=0, bx +cy+az=0 and cx+ay+bz=0 has

ARIHANT SSC-ELEMENTS OF ALGEBRA-INTRODUCTORY EXERCISE - 13.1
  1. The factors (a ^(2) + 4b ^(2) + 4b - 4 ab - 2a - 8) are

    Text Solution

    |

  2. The factors of (a -b)^(3) + (b-c)^(3) + (c -a)^(3) is

    Text Solution

    |

  3. If a+b+c=0 then a^(2)+b^(2)+c^(2) is

    Text Solution

    |

  4. Which of the following statements are true? 1. LCM of 10a^(2)b, 15ab...

    Text Solution

    |

  5. LCM of (2x^2-3x-2)and(x^3-4x^2+4x)

    Text Solution

    |

  6. The G.C.D of 2(x^(2) -y^(2)) and 5(x^(3)-y^(3)) is :

    Text Solution

    |

  7. The GCD of (x^(4)-4x^(2)+3) and (x^(4)-x^(2)-6) is :

    Text Solution

    |

  8. The HCF of (x^(2)-4)(x^(2)-5x-6) and (x^(2)+x-6) is :

    Text Solution

    |

  9. The GCD of [x^(2)-ax-(a+1)] and [ax^(2)-x-(a+1)] is :

    Text Solution

    |

  10. LCM of the polynomials P and Q, where P=(x-2)(x+1)^(2)(x+3)^(2) Q=...

    Text Solution

    |

  11. The LCM of (a^(3)+b^(3)) and (a^(4)-b^(4)) is :

    Text Solution

    |

  12. The HCF of (x^4-1) and (x^3+x^2+x+1) is:

    Text Solution

    |

  13. The GCD of (2x^(2)-4x), (3x^(4)-12x^(2)) and (2x^(5)-2x^(4)-4x^(3)) is...

    Text Solution

    |

  14. The HCF of two expressions P and Q is 1. Their LCM is :

    Text Solution

    |

  15. The LCM of (x+2)^(2)(x-2) and (x^(2)-4x-12) is :

    Text Solution

    |

  16. The HCF of a^2-ab-2b^2 and 2a^2-ab-b^2 is :

    Text Solution

    |

  17. HCF and LCM of a^(2)b^(3)c^(4) and a^(5)b^(4)c^(3) are :

    Text Solution

    |

  18. Express each of the following as a rational expression. ((x+3))/((x-...

    Text Solution

    |

  19. Express each of the following as a rational expression. (x+1)/(x-1)+...

    Text Solution

    |

  20. Express each of the following as a rational expression. (x^(2)-5x+6)...

    Text Solution

    |