Home
Class 12
MATHS
if a(1),a(2),…….a(n),……. form a G.P. and...

if `a_(1),a_(2),…….a_(n),…….` form a G.P. and `a_(1) gt 0 ,` for all `I ge 1`
`|{:(log a_(n),,loga_(n+1),,log a_(n+2)),(log a_(n+3),,log a_(n+4),,log a_(n+5)),(log a_(n+6),,loga_(n+7),,log a_(n+8)):}|`

A

1

B

0

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 7:|3 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If (1+ax+bx^(2))^(4)=a_(0) +a_(1)x+a_(2)x^(2)+…..+a_(8)x^(8), where a,b,a_(0) ,a_(1)…….,a_(8) in R such that a_(0)+a_(1) +a_(2) ne 0 and |{:(a_(0),,a_(1),,a_(2)),(a_(1),,a_(2),,a_(0)),(a_(2),,a_(0),,a_(1)):}|=0 then the value of 5.(a)/(b) " is " "____"

If a_(1),a_(2),a_(3),"….",a_(n) are in AP, where a_(i)gt0 for all I, the value of (1)/(sqrta_(1)+sqrta_(2))+(1)/(sqrta_(2)+sqrta_(3))+"....."+(1)/(sqrta_(n-1)+sqrta_(n)) is

Statement I: If a=2hati+hatk,b=3hatj+4hatk and c=lamda a+mub are coplanar, then c=4a-b . Statement II: A set vector a_(1),a_(2),a_(3), . . ,a_(n) is said to be linearly independent, if every relation of the form l_(1)a_(1)+l_(2)a_(2)+l_(3)a_(3)+ . . .+l_(n)a_(n)=0 implies that l_(1)=l_(2)=l_(3)= . . .=l_(n)=0 (scalar).

If a ,a_1, a_2, a_3, a_(2n),b are in A.P. and a ,g_1,g_2,g_3, ,g_(2n),b . are in G.P. and h s the H.M. of aa n db , then prove that (a_1+a_(2n))/(g_1g_(2n))+(a_2+a_(2n-1))/(g_1g_(2n-1))++(a_n+a_(n+1))/(g_ng_(n+1))=(2n)/h

If a_(1),a_(2),a_(3),"........",a_(n) are in AP with a_(1)=0 , prove that (a_(3))/(a_(2))+(a_(4))/(a_(3))+"......"+(a_(n))/(a_(n-1))-a_(2)((1)/(a_(2))+(1)/(a_(3))"+........"+(1)/(a_(n-2))) = (a_(n-1))/(a_(2))+(a_(2))/(a_(n-1)) .

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

If a_(1),a_(2),a_(3),a_(4),a_(5) are in HP, then a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+a_(4)a_(5) is equal to

ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If a^2+b^2+c^2=-2, and f(x)= |{:(1+a^2x,(1+b^2)x,(1+c^2)x),((1+a^2)x,...

    Text Solution

    |

  2. The value of |alpha| for which the system of equation alphax+y+z=alpha...

    Text Solution

    |

  3. if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...

    Text Solution

    |

  4. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

    Text Solution

    |

  5. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(...

    Text Solution

    |

  8. If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...

    Text Solution

    |

  9. The number of values of k for which the linear equations 4x+ky+2...

    Text Solution

    |

  10. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  11. The number of values of k, for which the system of equations (k""+""...

    Text Solution

    |

  12. If f(n)=alpha^(n)+beta^(n) and |{:(3,1+f(1),1+f(2)),(1+f(1),1+f(2),1+f...

    Text Solution

    |

  13. The set of all values of lambda for which the system of linear equ...

    Text Solution

    |

  14. Which of the following values of alpha satisfying the equation |{:((1+...

    Text Solution

    |

  15. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

    Text Solution

    |

  16. The total number of distinct x in R for which |{:(x,,x^(2),,...

    Text Solution

    |

  17. Let a, lambda , mu in R.Consider the system of linear equations ax...

    Text Solution

    |

  18. If S is the set of distinct values of 'b' for which the following ...

    Text Solution

    |