Home
Class 12
MATHS
If l,m,n are the pth, qth, rth terms res...

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

A

3

B

2

C

1

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • UNIT TEST PAPER NO. 2 (GEOMETRIES)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

l,m,n are the pth , qth rth terms of a G.P. (all positive) , then |(log l,p,1),(logm,q,1),(logn,r,1)| equals :

T_p,T_q,T_r are the pth , qth and rth terms of an A.P., then |(T_p,T_q,T_r),(p,q,r),(1,1,1)| equals :

If the pth, qth and rth terms of a G.P. are , l,m,n respectively , then l^(q-r)m^(r-p)n^(p-q) is :

If a, b, c are the pth, qth and rth terms of an H.P., then the lines bcx+py+1=0, cax+qy+1=0 and abx+ry+1=0 :

If pth, qth and rth terms of a HP be respectively a,b and c , has prove that (q-r)bc+(r-p)ca+(p-q)ab=0 .

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.

In a GP if the (m+n)th term is p and (m-n)th term is q then mth term is

If S_(n) denotes the sum of n terms of a G.P., whose common ratio is r, then (r-1) (dS_(n))/(dr) =

In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(th) terms are respectively p and q then p+q =

If l^(2) + m^(2) =1 , then the maximum value of l+m is

MODERN PUBLICATION-UNIT TEST PAPER NO - 4 -SELECT THE CORRECT ANSWER
  1. If A=[(2,-2,-4),(-1,3,4),(1,-2,x)] is an idempotent matrix, then x equ...

    Text Solution

    |

  2. The value of the determinant |[loga(x/y), loga(y/z), loga(z/x)], [logb...

    Text Solution

    |

  3. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

    Text Solution

    |

  4. If alpha,beta are the roots of the equation ax^2+bx+c=0 and Sn=alpha^n...

    Text Solution

    |

  5. if A=[[cos,sinx,0],[-sinx,cosx,0],[0,0,1]]=f(x) then A^-1

    Text Solution

    |

  6. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  7. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  8. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

    Text Solution

    |

  9. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

  10. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+al...

    Text Solution

    |

  11. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  12. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

    Text Solution

    |

  13. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

  14. if A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

    Text Solution

    |

  15. If 1,omega,omega^2 are the cube roots of unity , then Delta=|(1,ome...

    Text Solution

    |

  16. The number of values of k, for which the system of eauations: (k+1)x...

    Text Solution

    |

  17. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

    Text Solution

    |

  18. If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Del...

    Text Solution

    |

  19. If l,m,n are the pth, qth, rth terms respectively of a G.P.(l,m,ngt0) ...

    Text Solution

    |

  20. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

    Text Solution

    |