Home
Class 12
MATHS
|{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is ...

`|{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}|` is eqaual to

A

4

B

`4+y+z`

C

`xyz`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - B|21 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - C|7 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise Try Yourself|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

(3x+4y+5z)(4x+3y+4z)

Prove: |(y+z, z, y),( z, z+x,x),( y, x,x+y)|=4\ x y z

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4) ?

What is ((x-y)^(3) + (y-z)^(3) + (z-x)^(3))/(4(x-y)(y-z)(z-x)) equal to ?

(4x-2y+z)(5x-5y+z)

If [{:(x -y ,4),(z + 6 , x + y ):}] = [{:(8, w),(0,0):}] , then the value of (x + y + w + z) is

AAKASH INSTITUTE-DETERMINANTS -SECTION A
  1. The value of theta lying between 0 and pi/2 and satisfying the equatio...

    Text Solution

    |

  2. |[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]|=0

    Text Solution

    |

  3. If |{:(4,-4,0),(a,b+4,c),(a,b,c+4):}|=0, then a+b+c is equal to

    Text Solution

    |

  4. The equation |{:(x-2,3,1),(4x-2,10,4),(2x-1,5,1):}|=0 is satisfied by

    Text Solution

    |

  5. |{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is eqaual to

    Text Solution

    |

  6. |{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

    Text Solution

    |

  7. The roots of the equation |{:(x-1,1,1),(1,x-1,1),(1,1,x-1):}|=0 are

    Text Solution

    |

  8. The value of the determinant |{:(1,logba),(logab,1):}| is equal to

    Text Solution

    |

  9. |{:(1+a,c,1+bc),(1+a,b,1+bc),(1+a,e,1+bc):}| is equal to

    Text Solution

    |

  10. if [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2 then find...

    Text Solution

    |

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

    Text Solution

    |

  12. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

    Text Solution

    |

  13. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  14. If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}|is

    Text Solution

    |

  15. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

    Text Solution

    |

  16. If a, b,c> 0 and x,y,z in R then the determinant: |((a^x+a^-x)^2,(a...

    Text Solution

    |

  17. The determinant D=|{:(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sina...

    Text Solution

    |

  18. The roots of equation |(1,4,20),(1,-2,5),(1,2x,5x^2)|=0 are

    Text Solution

    |

  19. Let a , ba n dc detnote the sides B C ,C Aa n dA B respectively of A ...

    Text Solution

    |

  20. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

    Text Solution

    |