Home
Class 12
MATHS
Delta=|[log x ,log y, log z],[log 2 x, l...

`Delta=|[log x ,log y, log z],[log 2 x, log 2 y, log 2 z],[log 3 x, log 3 y, log 3 z ]|=`

A

a.0

B

b.`log (x y z)`

C

c,`log (6x y z)`

D

d.`6 log (x y z)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

|log e,log e^2,log e^3],[log e^2,log e^3,log e^4],[log e^3,log e^4,log e^5]|=

If x, y, z being positive |[1, log _x y,log _x z],[log _y x,1,log _y z],[log _z x,log _z y, 1]|=

IF x yz are not equal to ne 0, ne 1 the value of |{:(logx,,logy,,logz),(log2x,,log2y,,log2z),(log3x,,log3y,,log3z):}| is equal to

The sides a,b,c of Delta ABC are in G.P. , where log a - log 2b, log 2b -log 3c, log 3c - log a , are in A.P., then Delta ABC is :

If x^2 + y^2 = 6xy , prove that 2 log (x + y) = logx + logy + 3 log 2

int [ log (log x) + (log x)^(-2)] dx is :

If y = log log (log x), then dy/dx =

Find (dy)/( dx) , if y=log( log x)

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

    Text Solution

    |

  2. If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...

    Text Solution

    |

  3. Delta=|[log x ,log y, log z],[log 2 x, log 2 y, log 2 z],[log 3 x, log...

    Text Solution

    |

  4. The value of the determine : Delta=|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| ...

    Text Solution

    |

  5. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  6. If f(x)=[[x-3 , 2 x^2-18 , 3 x^3-81],[ x-5 , 2 x^2-50 , 4 x^3-500],[ 1...

    Text Solution

    |

  7. The value of n for which the determinant |[8 C3 , 9 C5 , 10 C7 ],[8 C4...

    Text Solution

    |

  8. [[ 1 , 1 , 1],[ 4 , 3 , 2],[ 4^2 , 3^2 , 2^2 ]] =

    Text Solution

    |

  9. If Delta= [[0 , x , -y ],[-x , 0 , z],[ y , -z , 0 ]] then

    Text Solution

    |

  10. Let Delta=|(1,sintheta,1),(-sin theta,1,sintheta),(-1,-sintheta,1)| , ...

    Text Solution

    |

  11. If [[ p , q-y , r-z],[ p-x , q , r-z ],[ p-x , q-y , r ]]=0, then (p)/...

    Text Solution

    |

  12. A and B are matrices of order three and |A| =4, |B| =-1 . Then the de...

    Text Solution

    |

  13. If A and P are 3xx3 matrices with integral entries such that P ' AP = ...

    Text Solution

    |

  14. Let A be a matrix of order 3 xx 3, and B is its adjoint matrix. If ...

    Text Solution

    |

  15. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

    Text Solution

    |

  16. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

    Text Solution

    |

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

    Text Solution

    |

  18. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

    Text Solution

    |

  19. The value of Delta= [[5^2 , 5^3 , 5^4],[ 5^3 , 5^4 , 5^5],[ 5^4 , 5^6 ...

    Text Solution

    |

  20. [[ 0 , p-q , p-r ],[q-p , 0 , q-r],[ r-p , r-q , 0 ]] =

    Text Solution

    |