Home
Class 14
MATHS
If x gt 0, y gt 0 then minimum value of ...

If `x gt 0, y gt 0` then minimum value of `(x+y)(1/x+ 1/y)` is

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos
  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

If x gt 0 and xy =1 , the minimum value of (x + y) is

If x gt 0, y gt 0 and xy=5 , then the minimum value of x+y is …………… .

If x^(2)+x=1-y^(2) , where x gt 0, y gt 0 , then find the maximum value of x sqrt(y) .

If x gt y gt 0 , then find the value of tan^(-1).(x)/(y) + tan^(-1) [(x + y)/(x -y)]

If 4x^(2) + y^(2) = 40 and xy = 6, (x gt , y gt 0) then the value of 2x + y is

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + "cot"^(-1)(yz + 1)/(y - z) + "cot"^(-1)(zx + 1)/(z - x)

If xyz = 1 and x, y, z gt 0 then the minimum value of the expression (x+2y)(y+2z)(z+2x) is

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. If a, b, c are the distinct positive numbers than (a+b+c)(ab+bc+ac) is...

    Text Solution

    |

  2. If x+y=25 and x^(2)y^(3)+y^(2)x^(3)=25, what is the value of xy?

    Text Solution

    |

  3. If x gt 0, y gt 0 then minimum value of (x+y)(1/x+ 1/y) is

    Text Solution

    |

  4. If a, b, c and d are four positive numbers such that a+b+c+d=4, then w...

    Text Solution

    |

  5. If x,y and z are three distinct positive real numbers such that x+y+z=...

    Text Solution

    |

  6. If x, y, z are real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6,...

    Text Solution

    |

  7. If x=7+4sqrt3 and xy=1 then the value of (1/x^2+1/y^2) is

    Text Solution

    |

  8. If a,b and c are positive real numbers the least value of (a+b+c)(1/a+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If a,b,c are all positive then the minimum value of the expression(a^2...

    Text Solution

    |

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

    Text Solution

    |

  13. If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zer...

    Text Solution

    |

  14. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

    Text Solution

    |

  15. If a^x=b,b^y=c,c^z=a then the value of xyz is:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |