Home
Class 12
MATHS
For positive numbers x ,\ y\ a n d\ z th...

For positive numbers `x ,\ y\ a n d\ z` the numerical value of the determinant `|1(log)_x y(log)_x z(log)_y x1(log)_y z(log)_z x(log)_z y1|` is- a.`0` b. `logx y z` c.`"log"(x+y+z)` d. `logx\ logy\ logz`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

int (dx)/(x log x log (logx))=...

Solve the system of equations: (log)_a x(log)_a(x y z)=48, (log)_a y log_a(x y z)=12 , a >0,\ a!=1(log)_a z log_a(x y z)=84\

x log x(dy)/(dx) + y = (2)/(x)log x

Solve the following equation for x\ &\ y :(log)_(100)|x+y|=1/2,(log)_(10)y-(log)_(10)|x|=log_(100)4.

Find the real solutions to the system of equations log_(10)(2000xy)-log_(10)x.log_(10)y=4 , log_(10)(2yz)-log_(10)ylog_(10)z=1 and log_(10)zx-log_(10)zlog_(10)x=0

Solve (y log x-1)y dx=xdy.

x (dy)/(dx) + 2y = x^(2)log x

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

The area of the region bounded by the curve y = log x, y = log |x| ,y= | log x| and y=|log |x|| is ….Sq. units

Draw the graph of y=|logx| when the graph of y=log(x) is known.

ALLEN -DETERMINANTS-All Questions
  1. If a1, a2 an ,\ a(n+1) are in GP and a1>0AAI ,\ t h e n |loganloga(n+2...

    Text Solution

    |

  2. If p x^4+q x^3+r x^2+s x+t=|[x^2+3x, x-1, x+3],[x+1, 2-x, x-3], [x-3...

    Text Solution

    |

  3. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

    Text Solution

    |

  4. If a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in R , then the determinant |\ ...

    Text Solution

    |

  5. For a non-co real a,b and c |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,...

    Text Solution

    |

  6. The equation |((1+x)^2,(1-x)^2,-(2+x^2)),(2x+1,3x,1-5x),(x+1,2x,2-3x)...

    Text Solution

    |

  7. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

    Text Solution

    |

  8. If a!=b!=c\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 the...

    Text Solution

    |

  9. If a ,\ b ,\ &\ c are non zero real numbers, then |b^2c^2bcb+c c^2a^2...

    Text Solution

    |

  10. If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...

    Text Solution

    |

  11. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

    Text Solution

    |

  12. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  13. If the system of linear equations x+a y+a z=0,\ x+b y+b z=0,\ x+c y...

    Text Solution

    |

  14. Find the equation of the straight line parallel to Y - axis and at a d...

    Text Solution

    |

  15. The determinant |[a^2, a^2-(b-c)^2,bc],[b^2,b^2-(c-a)^2,ca],[ c^2,c^2-...

    Text Solution

    |

  16. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

    Text Solution

    |

  17. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

    Text Solution

    |

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

    Text Solution

    |

  19. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

    Text Solution

    |

  20. Given that q^2-p r <0,\ p >0, then the value of {:|(p, q, px+qy), ...

    Text Solution

    |