Home
Class 12
MATHS
If x,y,z are all positive and are the pt...

If x,y,z are all positive and are the pth, qth and rth terms of a geometric progresion respectively, then the value of the determinant `|(logx,p,1),(logy,q,1),(logz,r,1)|=`

A

`log xyz`

B

`(p-1) (q-1) (r-1)`

C

`pqr`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOCUS AND TRANSFORMATION OF AXES

    SIA PUBLICATION|Exercise Problems|11 Videos
  • MEASURES OF DISPERSION AND PROBABILITY

    SIA PUBLICATION|Exercise PROBLEMS|82 Videos

Similar Questions

Explore conceptually related problems

If the 4th, 10th and 16th terms of a G.P. are x,y and z respectively, then x,y,z are in

If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p, 1),(logb, q, 1),(logc, r, 1)|=

Find z so that z+1,z+2,z+3 are consecutive terms of a geometric progression.

If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve, then |(log l,p,1),(log m ,q,1),(log n ,r,1)|=

|(x,1,y+z),(y,1,z+x),(z,1,x+y)|=

If p^(th), q^(th), r^(th) terms of a geometric progression are the positive numbers a,b,c respectively, then the angle between the vectors (log a^(2)) I + (log b^(2)) j + (log c^(2))k and (q - r) I + (r - p) j + (p - q) k is

The least value of the product xyz for which the determinant |(x,1,1),(1,y,1),(1,1,z)| is non-negative is

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

If p and q are the greatest values of ""^(2n)C_(r) and ""^(2n-1)C_(r) respectively, then

SIA PUBLICATION-MATRICES-PROBLEMS
  1. Suppose A and B are two square matrices of same order. If A, B are sym...

    Text Solution

    |

  2. If one of the roots of |{:(3,5,x),(7,x,7),(x,5,3):}|=0 is -10, then th...

    Text Solution

    |

  3. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

    Text Solution

    |

  4. If |(1,-1,x),(1,x,1),(x,-1,1)| has no inverse, then the real value of ...

    Text Solution

    |

  5. The inverse of the matrix [(7,-3,3),(-1,1,0),(-1,0,-1)] is

    Text Solution

    |

  6. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

    Text Solution

    |

  7. If A=((1,-2),(4,5)) and f(t)=t^(2)-3t+7 then f(A)+((3,6),(-12,-9))=

    Text Solution

    |

  8. If ((1,2,x),(4,-1,7),(2,4,-6)) is a singular matrix, then x=

    Text Solution

    |

  9. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

    Text Solution

    |

  10. The number of nontrivial solutions of the system: x-y+z=0, x+2y=0, 2x+...

    Text Solution

    |

  11. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

    Text Solution

    |

  12. If A is an invertible matrix of order n, then the determinant of adj A...

    Text Solution

    |

  13. m[(-3,4)]+n[(4,-3)]=[(10,-11)]implies3m+7n=

    Text Solution

    |

  14. Adj[(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)]implies[(a,...

    Text Solution

    |

  15. A=[(-1,0),(0,2)]impliesA^(3)-A^(2)=

    Text Solution

    |

  16. The value of |{:(1990, 1991, 1992),(1991, 1992,1993),(1992, 1993, 199...

    Text Solution

    |

  17. The rank of [(1,-1,1),(1,1,-1),(-1,1,1)] is

    Text Solution

    |

  18. If a ne p, b neq, c ne r and |{:(b,b,c),(p+a, q+b, 2c),(a,b,r):}|=0 th...

    Text Solution

    |

  19. The number of Solutions of the system of equations 2x + y -z = 7, x - ...

    Text Solution

    |

  20. If |{:(cos (A+B), -sin (A+B), cos 2B),(sin A, cos A, sin B), ( -cos A,...

    Text Solution

    |