Home
Class 11
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 equal to:

A

4

B

`x + y + z`

C

xyz

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

If |(x+y,y+z,z+x),(y+z, z+x,x+y),(z+x,x+y,y+z)| =k |(x,z,y),(y,x,z),(z,y,x)| , then k is equal to

|(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0)| is equal to……………

If Delta=|{:(,x,2y-z,-z),(,y,2x-z,-z),(,y,2y-z,2x-2y-z):}| ,then

Prove that : |{:(x-y-z ,2x, 2x),(2y,y-z-x,2y),(2z,2z,z-x-y):}|=(x+y+z)^(3)

Using properties of determinants, prove that |{:(x,y,z),(x^(2),y^(2),z^(2)),(y+z,z+x,x+y):}|=(x-y)(y-z)(z-x)(x+y+z)

Prove that : |{:(x+y+2z,x,y),(z,y+z+2x,y),(z,x,x+z+2y):}|=2(x+y+z)^(3)

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

If x,y,z in R and |{:(x,y^2,z^3),(x^4,y^5,z^6),(x^7,y^8,z^9):}|=2 then find the value of |{:(y^5z^6(z^3-y^3),x^4z^6(x^3-z^3),x^4y^5(y^3-x^3)),(y^2z^3(y^6-z^6),xz^3(z^6-x^6), xy^2(x^6-y^6)),(y^2z^3(z^3-y^3),xz^3(x^3-z^3),xy^2(y^3-x^3)):}|

If A = {x, y, z}, then the relation R={(x,x),(y,y),(z,z),(z,x),(z,y)} , is

evaluate: |(a+x,y,z),(x,a+y,z),(x,y,a+z)|

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise
  1. If A=|[1, 1, 1],[a, b, c],[ a^2,b^2,c^2]| , B=|[1,bc, a],[1,ca, b],[1,...

    Text Solution

    |

  2. The value of |(11,12,13),(12,13,14),(13,14,15)|, is

    Text Solution

    |

  3. |{:(x,4, y+z),(y,4,z+x),(z,4,x+y):}| is equal to:

    Text Solution

    |

  4. If f(x)=|{:(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0):}|, then

    Text Solution

    |

  5. Let a ,b , c be the real numbers. The following system of equations in...

    Text Solution

    |

  6. A ,\ B are two matrices such that A B and A+B are both defined; sho...

    Text Solution

    |

  7. If omega is an imaginary cube root of unity, then the value of |(a,b o...

    Text Solution

    |

  8. If alpha, beta are non - real numbers satifying x^3-1=0 then the value...

    Text Solution

    |

  9. The value of the determinant |(-1,1,1),(1,-1,1),(1,1,-1)| is equal to

    Text Solution

    |

  10. In a third order determinant, each element of the first column consist...

    Text Solution

    |

  11. A root of the equation |[3-x,-6,3],[-6,3-x,3],[3,3,-6-x]|=0

    Text Solution

    |

  12. For positive numbers x, y and z, the numerical value of the determinan...

    Text Solution

    |

  13. Calculate the value of the determinant |{:(1,1,1,1),(1,2,3,4),(1,3,6,1...

    Text Solution

    |

  14. if Delta= |{:(3,,4,,5,,x),(4,,5,,6,,y),(5,,6,,7,,z),(x,,y,,z,,0):}|=0 ...

    Text Solution

    |

  15. If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1...

    Text Solution

    |

  16. If a,b,and c are the side of a triangle and A,B and C are the angles o...

    Text Solution

    |

  17. If [ ] denotes the greatest integer less than or equal to the real num...

    Text Solution

    |

  18. The coefficicent of x in f(x) =|{:(x,1+sinx,cosx),(1, log(1+x),2),(x^2...

    Text Solution

    |

  19. The determinant |(cos C,tan A,0),(sin B,0,-tan A),(0,sin B,cos C)| h...

    Text Solution

    |

  20. Using the factor theorem it is found that a+b , b+ca n dc+a are three ...

    Text Solution

    |