Home
Class 12
MATHS
If a gt0, bgt0,cgt0 are respectively the...

If `a gt0, bgt0,cgt0` are respectively the `p^("th"),q^("th"),r^("th")` terms of a G.P.,. Then the value of the determinant `|{:(loga, p,1),(logb,q,1),(logc,r,1):}|` is

A

1

B

-1

C

`(abc)/(pqr)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - C|7 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - D|16 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION A|33 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

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

Similar Questions

Explore conceptually related problems

l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive, then |{:(logl, p, 1),(log m, q, 1),(log n ,r,1):}| equals :

If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respectively of a G.P show that, |{:(,log a,p,1),(,log b,q,1),(,log c,r,1):}|=0

If a,b,c are respectively the p^(th),q^(th) and r^(th) terms of a G.P.show that (q-r)log a+(r-p)log b+(p-q)log c=0

If a,b,c be respectively the p^(th),q^(th)andr^(th) terms of a H.P., then Delta=|{:(bc,ca,ab),(p,q,r),(1,1,1):}| equals

If a,b,c are positive and are the pth, qth and rth terms respectively of a G.P., the the value of |(loga, p, 1),(logb, q, 1),(logc, r, 1)|= (A) 1 (B) pqr(loga+logb+logc) (C) 0 (D) a^pb^qc^r

If a,b,and c are positive and are the pth, qth and rth terms respectively of a GP. Show without expanding that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

If a,b,c are respectively the p^(th), q^(th) and r^(th) terms of the given G.P. then show that (q - r) log a + (r - p) log + (p - q) log c = 0, where a, b, c gt 0

AAKASH INSTITUTE-DETERMINANTS -SECTION - B
  1. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

    Text Solution

    |

  2. If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...

    Text Solution

    |

  3. If A is a matrix of order 3 and |A|=2, then A |adj A| is

    Text Solution

    |

  4. The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...

    Text Solution

    |

  5. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

    Text Solution

    |

  6. The value of |{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}| is

    Text Solution

    |

  7. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

    Text Solution

    |

  8. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

    Text Solution

    |

  9. If the determinant |(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(...

    Text Solution

    |

  10. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

    Text Solution

    |

  11. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

    Text Solution

    |

  12. If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") te...

    Text Solution

    |

  13. Let a, b, c be positive and not all equal. Then possible value of the ...

    Text Solution

    |

  14. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

    Text Solution

    |

  15. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

    Text Solution

    |

  16. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  17. The largest value of a third order determinant whose elements are equa...

    Text Solution

    |

  18. If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...

    Text Solution

    |

  19. If all elements of a third order determinant are equal to 1 or -1. the...

    Text Solution

    |

  20. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

    Text Solution

    |