Home
Class 12
MATHS
If a,b,c be the pth, qth and rth terms r...

If a,b,c be the pth, qth and rth terms respectively of a H.P., the `|(bc,p,1),(ca,q,1),(ab,r,1)=` (A) 0 (B) 1 (C) -1 (D) none of these

A

Term containing a,b,c,p,q,r

B

a constant

C

zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise EXERCIESE 1|3 Videos

  • DETERMINANT

    FIITJEE|Exercise EXERCIESE 2|2 Videos

  • DETERMINANT

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|7 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

If l,m,n are the pth, qth, rth terms respectively of a G.P. (l,m,ngt0) then |(logl, p, 1),(logm,1,1),(logn,r,1)| = (A) pqr (B) l+m+n (C) 0 (D) none of these

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.

If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :

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,c are the pth,qth,rth terms, respectively,of an HP,show that the points (bc,p),(ca,q), and (ab,r) are collinear.

If a,b,c are the pth,qth,rth terms, respectively,of an HP, show that the points (bc,p),(ca,q), and (ab,r) are collinear.

If a, b, c are the pth, qth, rth terms respectively of an H.P. , then the lines bcx + py+1=0, cax + qy+1=0 and abx+ry+1=0 (A) are concurrent (B) form a triangle (C) are parallel (D) none of these

FIITJEE-DETERMINANT-SOLVED PROBLEMS (OBJECTIVE)
  1. If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)...

    Text Solution

    |

  2. Delta=|{:(" "p,2-i,i+1),(2+i," "q,3+i),(1-i,3-i," "r):}| is always

    Text Solution

    |

  3. If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(b...

    Text Solution

    |

  4. The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has

    Text Solution

    |

  5. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

    Text Solution

    |

  6. The det Delta=|{:(d^2+r,de,df),(de,e^2+r,ef),(df,ef,f^2+r):}| is divis...

    Text Solution

    |

  7. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  8. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

    Text Solution

    |

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

    Text Solution

    |

  10. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

    Text Solution

    |

  11. A 3 xx 3 determinant has its entries 1 or-1 . The number of such deter...

    Text Solution

    |

  12. A 3xx3 determinant has entries either 1 or -1. Let S(3)= set of all ...

    Text Solution

    |

  13. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

    Text Solution

    |

  14. Consider the determinant, Delta=|(p,q,r),(x,y,z),(l,m,n)| . M(ij) d...

    Text Solution

    |

  15. Statement -1 : Let a,b,c are the sides of a DeltaABC such that |{:(a,a...

    Text Solution

    |

  16. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  17. Let f(x) =|(x,1,1), (sin2pix, 2x^2,1), (x^3,3x^4,1)|. If f(x) be an od...

    Text Solution

    |

  18. If a,b, and c be non-zero real numbers such that |{:(1+a,1,1),(1,1+b...

    Text Solution

    |

  19. Let A and B be two matrices (neither null nor singular ) with real ent...

    Text Solution

    |

  20. Which of the following options is the only correct combination ?

    Text Solution

    |