Home
Class 12
MATHS
If x, y, z being positive |[1, log x y,l...

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]|=`

A

`log x`

B

`log y`

C

`log _x z^2`

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

The value of |(1,log_(x)y,log_(x)z),(log_(y)x,1,log_(y)z),(log_(z)x,lo_(z)y,1)|=

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 ]|=

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

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

If x gt 1, y gt 1 , z gt 1 are in G.P., then : ( 1)/( 1+ log x ) , ( 1)/( 1+ log y ) , ( 1) /( 1 + log z ) are in :

If x^(18)= y^(21) = z^(28) , then 3, 3log_(y)x, 3log_(z)y, 7 log_(x)z are in :

If x and y are strictly positive such that x+y =1, then the minimum value of x log x + y log y is

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A B=A and B A=B, then B^2=

    Text Solution

    |

  2. The number of 3xx3 non - singular matrices , with four entries as 1 ...

    Text Solution

    |

  3. If x, y, z being positive |[1, log x y,log x z],[log y x,1,log y z],[l...

    Text Solution

    |

  4. If Dr= |[2^r-1,2 . 3^(r-1), 4 . 5^(r-1)],[alpha ,beta, gamma],[2^(n-1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The parameter on which the value of the determinant |[1, a, a^2],[...

    Text Solution

    |

  8. Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of [[1,1,1],[1,-...

    Text Solution

    |

  9. l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(lo...

    Text Solution

    |

  10. If a gt 0 and discriminant of ax^2+2bx+c is negative, then : Delta=|(...

    Text Solution

    |

  11. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

    Text Solution

    |

  12. The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...

    Text Solution

    |

  13. If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...

    Text Solution

    |

  14. If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

    Text Solution

    |

  15. If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...

    Text Solution

    |

  16. The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

    Text Solution

    |

  17. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

    Text Solution

    |

  18. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

    Text Solution

    |

  19. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

    Text Solution

    |

  20. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

    Text Solution

    |