Home
Class 11
MATHS
If |(a+x, a-x, a-x),(a-x,a+x,a-x),(a-x,a...

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

A

0 is the only solution

B

0 is the double root

C

3a is the only solution

D

3a is the double root

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise INVERSE OF A MATRIX|8 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LINEAR EQUATIONS|13 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES|24 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If |(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x)|=0 then x=

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 x!=0 and |(1,x,2x),(1,3x,5x),(1,3,4)|=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=

Solve the equation {:[( x+a,x,x),(x,x+a,x),(x,x,x+a) ]:}=0,ane 0

If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-DETERMINANTS
  1. |(a,b-c,c+b),(a+c,b,c-a),(a-b,b+a,c)|=

    Text Solution

    |

  2. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

    Text Solution

    |

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

    Text Solution

    |

  4. Let D(r )=|(a, 2^(r ), 2^(16)-1),(b, 3(4^(r )), 2(4^(16)-1)), (x, 7(8^...

    Text Solution

    |

  5. If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(si...

    Text Solution

    |

  6. If A(K)=[(K,K-1),(K-1,K)] then |A(1)|+|A(2)|+...+|A(2011)|=

    Text Solution

    |

  7. If f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then f(root(3)(2))=

    Text Solution

    |

  8. If f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)...

    Text Solution

    |

  9. |(a-b-c,2b,2c),(2a,b-c-a,2c),(2a,2b,c-a-b)|=

    Text Solution

    |

  10. |(sin theta, cos theta, sin2theta),(sin(theta+(2pi)/(3)),cos(theta+(2p...

    Text Solution

    |

  11. |(3, a+b+c, a^(2)+b^(2)+c^(2)),(a+b+c, a^(2)+b^(2)+c^(2), a^(3)+b^(3)+...

    Text Solution

    |

  12. |(1,a,a^(2)+bc),(1,b,b^(2)+ac),(1,c,c^(2)+ab)|=k(a-b),(b-c), (c-a) the...

    Text Solution

    |

  13. If A=[(0, 1,0),(0, 0,1),(-c,-b,-a)] then A^(3)+aA^(2)+bA+cI is

    Text Solution

    |

  14. If bc+ca+ab=18, and |(1,a^(2),a^(3)),(1,b^(2),b^(3)),(1,c^(2),c^(3))|=...

    Text Solution

    |

  15. If A=((1,2,1),(-1,0,3),(2,-1,1)) then characteristic equation is given...

    Text Solution

    |

  16. Let A be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I...

    Text Solution

    |

  17. If alpha, beta ne 0 and f(n)=a^(n)+beta^(n) and |(3,1+f(1),1+f(2)),(1+...

    Text Solution

    |

  18. If B is a 3xx3 matrix such that B^(2)=0, then det. [(I+B)^(50)-50B]...

    Text Solution

    |

  19. If |(a^(2), b^(2), c^(2)),((a+lambda)^(2), (b+lambda)^(2), (c+lambda)^...

    Text Solution

    |

  20. If f(theta)=|(1, cos theta, 1),(-sin theta, 1,-cos theta),(-1,sin thet...

    Text Solution

    |