Home
Class 10
MATHS
IF a+b+c=0 then (a^2+b^2+c^2)/((a-b)^2...

IF a+b+c=0 then
`(a^2+b^2+c^2)/((a-b)^2+(b-c)^2+(c-a)^2)`=

A

3

B

`3^-1`

C

`3^2`

D

-3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos
  • SETS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS OF CCE MODEL EXAMINATION|116 Videos

Similar Questions

Explore conceptually related problems

If a,b and c are the roots of x^(3) +qx+r=0 , then (a-b)^(2) +(b-c)^(2) +(c-a)^(2) =

If Delta ABC is such that angle A = 90 ^(@) , angle B ne angle C " then " ( b^(2) + c^(2))/( b^(2) - c^(2)) sin ( B- C) =

|(3, a+b+c, a^(2)+b^(2)+c^(2)),(a+b+c, a^(2)+b^(2)+c^(2), a^(3)+b^(3)+c^(3)), (a^(2)+b^(2)+c^(2),a^(3)+b^(3)+c^(3), a^(4)+b^(4) +c^(4))| =K(a-b)^(2)(b-c)^(2)(c-a)^(2) then k =

If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(b+1)^(2),(c+1)^(2)),((a-1)^(2),(b-1)^(2),(c-1)^(2))|=0 then

Show that |{:(1,a,a^2),(1 ,b,b^2),(1,c,c^2):}| =(a-b)(b-c)(c-a)

In a, Delta^("le") ABC A: B:C= 1:2:4 then ((a^(2)-b^(2))(b^(2)-c^(2))(c^(-2)-a^(2)))/(a^(2)b^(2)c^(2)) =

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

Show that |{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|=(a-b)(b-c)(c-a)

VGS PUBLICATION-BRILLIANT-REAL NUMBERS (MULTIPLE CHOICE QUESTION)-REAL NUMBERS (MULTIPLE CHOICE QUESTION)
  1. The number 17 times 11 times 2 +17 times 11 times 5 is……………

    Text Solution

    |

  2. (256)^0.16 times(256)^0.09=.........

    Text Solution

    |

  3. The H.C.F of 72 and 108 is………….

    Text Solution

    |

  4. IF (a^m)^n=a^(m^n) then the value of 'm' in terms of 'n' is……………

    Text Solution

    |

  5. ((p+1/q)^p.(p-1/q)^q)/((q+1/p)^p.(q-1/p)^q)=(p/q)^x then x=

    Text Solution

    |

  6. IF a^(1/x)=b^(1/y)=c^(1/z) and abc=1 then x+y+z=…………..

    Text Solution

    |

  7. If a=x+sqrt(x^(2)+1) , then what is x equal to?

    Text Solution

    |

  8. IF 2^x=4^y=8^z and xyz=288 then 1/(2x)+1/(4y)+1/(8z)=……………

    Text Solution

    |

  9. IF x=(a-b)/(a+b),y=(b-c)/(b+c),z=(c-a)/(c+a) then ((1+x)(1+y)(1+z))/((...

    Text Solution

    |

  10. IF a=5^(1//3)+5^(-1//3)andb=5^(1//3)-5^(-1//3) then (a^3-3a)/(b^3+3b)=...

    Text Solution

    |

  11. IF a^x=b^y=c^z,b^2=ac then 1/x+1/z=

    Text Solution

    |

  12. IF (1.234)^a=(0.1234)^b=10^c then 1/a-1/c=…………

    Text Solution

    |

  13. IF x=root3(sqrt2+1)-root3(sqrt2-1) then x^3+3x=…………

    Text Solution

    |

  14. IF a+b+c=0 then (a^2+b^2+c^2)/((a-b)^2+(b-c)^2+(c-a)^2)=

    Text Solution

    |

  15. IF log 6789=2.8318, then the number of digits in (678.9)^(100) is

    Text Solution

    |

  16. IF log3x+log9x+log27x+log729x=4 then x=…………..

    Text Solution

    |

  17. IF f(a)=log((2+a)/(2-a)) then 1/2f((8a)/(4+a^2)) =…………..

    Text Solution

    |

  18. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

    Text Solution

    |

  19. log(8)128=

    Text Solution

    |

  20. IF 4a^2+9b^2=37ab then log(2a+3b)=………..

    Text Solution

    |