Home
Class 12
MATHS
The value of the determinant |{:(1,logba...

The value of the determinant `|{:(1,log_ba),(log_ab,1):}|` is equal to

A

1

B

`log_(e)b`

C

`log_(b)a`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - B|21 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - C|7 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

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

Similar Questions

Explore conceptually related problems

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

For positive numbers x, y and z, the numerical value of the determinant |{:(1,"log"_(x)y, "log"_(x)z),("log"_(y)x, 1, "log"_(y)z),("log"_(z)x, "log"_(z)y, 1):}| is……

If log_a(ab)=x then log_b(ab) is equals to

For positive numbers x, y and z, the numerical value of the determinant |[1,log_xy,log_xz],[log_yx,1,log_yz],[log_zx,log_zy,1]| is

If a_1, a_2, a_3,....... are in G.P. then the value of determinant |(log(a_n), log(a_(n+1)), log(a_(n+2))), (log(a_(n+3)), log(a_(n+4)), log(a_(n+5))), (log(a_(n+6)), log(a_(n+7)), log(a_(n+8)))| equals (A) 0 (B) 1 (C) 2 (D) 3

2log x-log(x+1)-log(x-1) is equals to

The value of int_(log1//2)^(log2)sin{(e^(x)-1)/(e^(x)+1)}dx is equal to

The value of tan(log_(2)6)*tan(log_(2)3)*tan1 is always equal to :

Show that: |log_ba+log_ab|ge2

IF x=198! then value of the expression 1/(log_2x)+1/(log_3x)+...+1/(log_198 x) equals

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

    Text Solution

    |

  2. Solve for x , |[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 equal 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 |(sinx, cosx, cosx),(cos x,sin x,...

    Text Solution

    |

  16. If a, b,c> 0 and x,y,z in RR 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. Sum of real roots of the euation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

    Text Solution

    |

  19. Let a ,\ b and c denote the sides B C ,\ C A and A B respectively of ...

    Text Solution

    |

  20. The parameter on which the value of the determinant |[1,a...

    Text Solution

    |