Home
Class 12
MATHS
If a ne bne c one value of x which sat...

If ` a ne bne c ` one value of x which satisfies thte equation :
`|(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0` is given by :

A

a

B

b

C

c

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

The root of the equation : |(a-x,b,c),(0,b-x,0),(0,b,c-x)|=0 are :

If a, b, c are different, then value of x satisfying the equation |{:( 0 , x^(2) - a , x^(3) - b) , (x^(2) + a , 0 , x^(2) + c), (x^(4) + b , x- c , 0):}|=0 is

If a le b le c le d then the equation (x-a)(x-c)+2(x-b)(x-d)=0 has

|(x,a,x+a),(y,b,y+b),(z,c,z+c)| = 0

The values of x, satisfying the equation for AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0 are

Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) + (x - a) (x - b) = 0 are always :

If f(x)=|(x^(3)-x,a+x,b+x),(x-a,x^(2)-x,c+x),(x-b,x-c,0)| then

If a, b and c are distinct real numbers, prove that the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has real and distinct roots.

A value of b for which the equations : x^(2) + bx - 1= 0, x^(2) + x + b = 0 Have one root in common is :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

    Text Solution

    |

  2. If a+b+c=0 , one root of : |(a-x,c,d),(c,b-x,a),(b,a,c-x)|=0 is :

    Text Solution

    |

  3. If a ne bne c one value of x which satisfies thte equation : |(0,x...

    Text Solution

    |

  4. If |[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|=k |[a,b,c],[c,a,b],[b,c...

    Text Solution

    |

  5. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  6. If Dr=|[r,1,(n(n+1))/(2)],[2r-1,4,n^2],[2^(r-1),5,2^(n)-1]| then, sum...

    Text Solution

    |

  7. If omega is a complex cube root of unity then a root of the equation ...

    Text Solution

    |

  8. If C=2 cos theta, then the value of the determinant Delta= |[C,1,0],...

    Text Solution

    |

  9. If the determinant |[a,b,2a alpha+3b],[b,c,2b alpha+3 c],[2a alpha+3b...

    Text Solution

    |

  10. If a, b, c are different, then value of x satisfying the equation |{...

    Text Solution

    |

  11. If x is a positive integer, then |[x!,(x+1)!,(x+2)!],[(x+1)!,(x+2)!...

    Text Solution

    |

  12. Let |[x^2+3x,x-1,x+3],[x+1,-2 x,x-4],[x-3,x+4,3x]|=a x^4+b x^3+c x^2+...

    Text Solution

    |

  13. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |

  14. If a, b, c are in G.P then the value of the determinant Delta= [[a, b,...

    Text Solution

    |

  15. If Delta= |[0,b-a,c-a],[a-b,0,c-b],[a-c,b-c,0]| then Delta=

    Text Solution

    |

  16. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

    Text Solution

    |

  17. The value of the determinant |[10!,11!,12!],[11!,12!,13!],[12!,13!,14...

    Text Solution

    |

  18. If omega is an imaginary cube root of unity, then the value of |[a,b ...

    Text Solution

    |

  19. Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...

    Text Solution

    |

  20. If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-...

    Text Solution

    |