Home
Class 11
MATHS
If a ,b ,c ,d in R^+-{1}, then the min...

If `a ,b ,c ,d in R^+-{1},` then the minimum value of `(log)_d a+(log)_b d+(log)_a c+(log)_c b` is (a)`4` (b)`2` (c)`1` (d)none of these``

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The value of ((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2) is 3 (b) 0 (c) 2 (d) 1

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3- (log)_3 2 (c) log(3/2) (d) none of these

Find the values : (log_(a)b)xx(log_(b)c)xx(log_(c )d)xx(log_(d)a)

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

If (log)_a3=2 and (log)_b8=3 , then prove that (log)_a b=(log)_3 4.

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)

The value of lim_(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a) 1/2 (b) -1/2 (c) 0 (d) none of these

If (log)_2x+(log)_x2=(10)/3=(log)_2y+(log)_y2 and x!=y ,the x+y= 2 (b) 65/8 (c) 37/6 (d) none of these

If log_2(a+b)+log_2(c+d)ge4 . Then the minimum value of the expression a+b+c+d is

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo...

    Text Solution

    |

  2. If a ,b ,c are the sides of a triangle, then the minimum value of a/(...

    Text Solution

    |

  3. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

    Text Solution

    |

  4. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alw...

    Text Solution

    |

  5. If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b...

    Text Solution

    |

  6. The first term of an arithmetic progression is 1 and the sum of the fi...

    Text Solution

    |

  7. Let a, b , c be positive integers such that b/a is an integer. if a, b...

    Text Solution

    |

  8. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  9. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |

  10. The sum of an infinite geometric series is 162 and the sum of its firs...

    Text Solution

    |

  11. If a ,b ,c are digits, then the rational number represented by 0 .c a ...

    Text Solution

    |

  12. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  13. Consider the ten numbers a r ,a r^2, a r^3, ..... ,a r^(10)dot If the...

    Text Solution

    |

  14. The sum of 20 terms of a series of which every even term is 2 times ...

    Text Solution

    |

  15. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

    Text Solution

    |

  16. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

    Text Solution

    |

  17. In a G.P. the first, third, and fifth terms may be considered as the ...

    Text Solution

    |

  18. If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

    Text Solution

    |

  19. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

    Text Solution

    |

  20. A B C is a right-angled triangle in which /B=90^0 and B C=adot If n po...

    Text Solution

    |