Home
Class 12
MATHS
The minimum value of the expression 3x+ ...

The minimum value of the expression` 3x+ 3^(1-x)` , `x in R ` , is `:`

A

0

B

`(1)/(3)`

C

3

D

`2 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

The minimum value of x^(x) is

The minimum value of 2 x^(2)+x-1 is

If x is real, then the minimum value of the expression x^2-8x+17 is

Expand the expression (x/3 + 1/x)^5

The local minimum value of the function f' given by f(x)=3+|x|, x in R is

The local minimum value of the function f' given by f(x) = 3 + |x|, x in R is

The minimum value of 4^(x) + 4^(1-x), x in R is :

If G and L are the greatest and least values of the expression (2x^(2)-3x+2)/(2x^(2)+3x+2), x in R respectively. The least value of G^(100)+L^(100) is

If G and L are the greatest and least values of the expression (2x^(2)-3x+2)/(2x^(2)+3x+2), x in R respectively. G and L are the roots of the equation

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. The 10th common term between the series : 3+7+11+"……." and 1+ 6 + 1...

    Text Solution

    |

  2. Let S be the sum, P be the product and R be the sum of the reciprocals...

    Text Solution

    |

  3. The minimum value of the expression 3x+ 3^(1-x) , x in R , is :

    Text Solution

    |

  4. In a G.P. of even number of terms, the sum of all terms in 5 times the...

    Text Solution

    |

  5. The length of three unequal edges of a rectangular solid block are in ...

    Text Solution

    |

  6. The minimum value of 4^(x) + 4^(1-x), x in R is :

    Text Solution

    |

  7. Let S(n) denote the sum of the first n terms of an A.P. If S(2n) = 3S(...

    Text Solution

    |

  8. If in an A.P. S(n) = qn^(2) and S(m) = qm^(2), where S(r ) denotes the...

    Text Solution

    |

  9. If x,2y, 3z are in A.P. where the distinct numbers x,y,z are in G.P., ...

    Text Solution

    |

  10. If 9 times the 9th term of an A.P. is equal to 13 times the 13^(th) te...

    Text Solution

    |

  11. The third of G.P. is 4. The product of its first 5 terms is :

    Text Solution

    |

  12. If the sum of n terms of an A.P. is given by : S(n) = 3n+ 2n^(2), th...

    Text Solution

    |

  13. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  14. The A.M and G.M of two numbers are in the ratio 3: 2, then the ratio o...

    Text Solution

    |

  15. If 12 and 9 are respectively A.M and G.M of two numbers, then the numb...

    Text Solution

    |

  16. If one geometric mean G and two arithmetic means A(1) and A(2) are ins...

    Text Solution

    |

  17. If (1)/(2) is the sum to infinity of a G.P, with common ratio (1)/(3),...

    Text Solution

    |

  18. If S is the sum to infinity of a G.P, whose first element is a, then t...

    Text Solution

    |

  19. If 2 is the sum to infinity of a G.P, whose first element is 1, then t...

    Text Solution

    |

  20. The fourth seventh and tenth terms of a G.P. are p,q,r respectively, t...

    Text Solution

    |