Home
Class 14
MATHS
If a, b are postitive real numbers such ...

If a, b are postitive real numbers such that ab=1, then the least value of the expression `(1+a)(1+b)` is

A

2

B

4

C

1

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 13.2|22 Videos

  • DISCOUNT

    ARIHANT SSC|Exercise FAST TRACK PRACTICE|47 Videos

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a b c are positive real numbers such that a+b+c=1 then the least value of ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c)) is

If a and b are positive real numbers such that a^(2)b^(3)=(4)/(9), then least value of a+b is

If a and b are positive real numbers such that a+b =c, then the minimum value of ((4 )/(a)+ (1)/(b)) is equal to :

If a and b are positive real numbers such that a+b=6, then the minimum value of ((4)/(a)+(1)/(b)) is equal to

If a,b,c,d are four positive real numbers such that abcd=1 then least value of (a+4)(b+4)(c+4)(d+4) is

If a,b,c are positive real numbers such that a+b+c=1 , then find the minimum value of (1)/(ab)+(1)/(bc)+(1)/(ac) .

Let a,b and c be three positive real numbers such that their product is unity,then the least value of (1+a)(1+b)(1+c) is

Statement-1: If a, b, c are positive numbers in AP such that (1)/(ab)+(1)/(bc)+(1)/(ca)=1, then the least value of b is sqrt(3) . Statement-2: A.M.geG.M.

ARIHANT SSC-ELEMENTS OF ALGEBRA-EXERCISE(LEVEL 1)
  1. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)= 64 (b) 134...

    Text Solution

    |

  2. If a, b, c are positive real numbers, then the least value of (a+b+c)(...

    Text Solution

    |

  3. If a, b are postitive real numbers such that ab=1, then the least valu...

    Text Solution

    |

  4. If a, b, c all positive and not euqal, then the value of ((a+b+c)(ab+b...

    Text Solution

    |

  5. If a, b, c are all positive integers, then the minimum value of the ex...

    Text Solution

    |

  6. If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

    Text Solution

    |

  7. If a + b + c = 3, a^(2) + b^(2) + c^(2) = 6 and (1)/(a) + (1)/(b) + (...

    Text Solution

    |

  8. IF 2^x=4^y=8^z and xyz=288 then 1/(2x)+1/(4y)+1/(8z)=……………

    Text Solution

    |

  9. If a^x=b ,b^y=c ,c^z=a , then find the value of x y zdot

    Text Solution

    |

  10. Let x, y in N and 7x+12y=220. The number of solutions :

    Text Solution

    |

  11. If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

    Text Solution

    |

  12. If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx is equal to :

    Text Solution

    |

  13. In the farm - house of Bhuwan Kisan, there were total 14 deer and duc...

    Text Solution

    |

  14. In an autofair at Pragati Maidan, New Delhi, there are 600 vehicles co...

    Text Solution

    |

  15. In the battle of Mahabharat Veer Arjun destroyed all the 125 raths (ho...

    Text Solution

    |

  16. In an electric appliances shop there were some fans and coolers contai...

    Text Solution

    |

  17. In the air talent show in the eve of independence day 90 aircraft (onl...

    Text Solution

    |

  18. Every man in a group of 20 men likes either mangoes or an apple. Every...

    Text Solution

    |

  19. In a mixture of milk and water of the volume of 60l the ratio of milk ...

    Text Solution

    |

  20. In a mixture of milk and water of the volume 30L, the ratio of milk an...

    Text Solution

    |