Home
Class 11
MATHS
If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a...

If `a+b+c=0` and `|(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0` then `x=`

A

0

B

`sqrt(3/2(a^(2)+b^(2)+c^(2)))`

C

`sqrt(3/2(a^(2)+b^(2)+c^(2)))`

D

`0,pmsqrt(3/2(a^(2)+b^(2)+c^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS-PRACTICE EXERCISE|39 Videos

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - I|21 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - I|15 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If (b-c)^(2)!=(a-b)(c-a) and |(a+x,b+x,c+x),(b+x,c+x,a+x),(c+x,a+x,b+x)|=0 then x=

If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then x=

If A={a, b, c}, B={x, y}, f={(a, x), (b, y), (c, x)} then f is ………… mapping

If a, b, c are real then (b-x)^(2)-4(a-x) (c-x)=0 will have always roots which are

Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0

IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - II
  1. |(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

    Text Solution

    |

  2. Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...

    Text Solution

    |

  3. If a+b+c=0 and |(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0 then x=

    Text Solution

    |

  4. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

    Text Solution

    |

  5. Let |{:(x^(2)+x+1,x+1,2x-3),(3x^(2)-1,x+2,x-1),(x^(2)+5x+1,2x+3,x+4):}...

    Text Solution

    |

  6. If |(a,b,a alpha+b),(b,c, b alpha+c),(a alpha+b, b alpha+c,0)|=0 then

    Text Solution

    |

  7. If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(...

    Text Solution

    |

  8. If |(3x-8,3,3),(3,3x-8,3),(3,3,3x-8)|=0 then x=0

    Text Solution

    |

  9. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

    Text Solution

    |

  10. If x=-1 is a root of the equation |{:(2-x,3,3),(3,4-x,5),(3,5,4-x):}|=...

    Text Solution

    |

  11. If one of the roots of |(3,5,x),(7,x,7),(x,5,3)|=0 is -10, then the ot...

    Text Solution

    |

  12. If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)|=64 then x=

    Text Solution

    |

  13. If a,b,c, are in A.P. then |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|...

    Text Solution

    |

  14. If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p,...

    Text Solution

    |

  15. If |{:(0,sinalpha,sinbeta),(sinalpha,0,singamma),(sinbeta,singamma,0):...

    Text Solution

    |

  16. With the usual notation in DeltaABC det|(1,1,1),(sinA,sinB,sinC),(sin^...

    Text Solution

    |

  17. If y=cosx,y(n)=(d^(n)(cosx))/(dx^(n)) then |{:(y(4),y(5),y(6)),(y(7),y...

    Text Solution

    |

  18. If |{:(cos(A+B),-sin(A+B),cos2B),(sinA,cosA,sinB),(-cosA,sinA,cosB):}|...

    Text Solution

    |

  19. A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(ga...

    Text Solution

    |

  20. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |