Home
Class 12
MATHS
If x and y are positive real numbers suc...

If x and y are positive real numbers such that `x^3+8y^3+24xy=64` , then the value of `1/(x+2y)` is

Text Solution

Verified by Experts

The correct Answer is:
`0.25`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

If "x" and "y" are positive integers such that x^(3)-y^(3)=xy+61 ,then find the value of (x+y)

If x and y be two positive real numbers such that 4x^(2)+y^(2)=40 and xy=6 , then find the value od 2x+y .

Let x and y be two positive real numbers such that x + y = 1. Then the minimum value of 1/x+1/y is-

If x, y are positive real numbers, such that x^(2)+y^(2)=8 .Then the greatest value of x+y is

If x and y be two positive real numbers such that xgt3y,x^(2)+9y^(2)=369 and xy=60 , then the value of x-3y is

If x and y are positive real numbers and xy=8 , then the minimum value of 2x+y is

Let x and y be two positive real numbers such that x+y= 1 . Then the minimum value of (1)/(x) + (1)/(y) is

If x and y are two positive real numbers such that their sum is one,then the maximum value of x^(4)y+xy^(4) is-

ALLEN-TEST PAPER-MATHS
  1. If alpha,beta,gamma are roots of x^(3)-5x^(2)+3=0 then value of |(alph...

    Text Solution

    |

  2. The value of | sum(r=1)^(23) cos ((rpi)/(12))|is

    Text Solution

    |

  3. Let f(x)=Sigma(i=1)^(n) (x-xi)^2, where xi are real coefficients , the...

    Text Solution

    |

  4. If r lt s lt p are in arithmetic progression, then both roots of the q...

    Text Solution

    |

  5. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

    Text Solution

    |

  6. If a,b,c are in A.P., then a^2(b+c)+b^2(c+a)+c^2(a+b) is equal to

    Text Solution

    |

  7. If A+B+C=pi and cosA cosecB cosecC + cosB cosecA cosecC + cosC cosecA ...

    Text Solution

    |

  8. If |3x-2|+|3x-4|+|3x-6|ge12, then which of the following is/are incorr...

    Text Solution

    |

  9. Match list-I with list-II and select the correct anser using the code ...

    Text Solution

    |

  10. Consider the equation x^2+p|x|+1=0, where p is real coefficient Matc...

    Text Solution

    |

  11. Let f(x)=(x^2-11x+18)/(x^2-7x+12) Match List-I with List-II and sele...

    Text Solution

    |

  12. fn(x)=(underset(r=1)overset(n)Sigmasin(rx))/(underset(r=1)overset(n)Si...

    Text Solution

    |

  13. If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...

    Text Solution

    |

  14. Let f(x)=(x^2-ax-2)/(x^2+x+1) such that -3lt f(x)lt 2AA x in R and com...

    Text Solution

    |

  15. Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...

    Text Solution

    |

  16. If the range of real values of k for which equation 2"log"3^2x-|log3x|...

    Text Solution

    |

  17. Number of integers satisfying the inequality log((x+3))(x^2-x) lt 1 is

    Text Solution

    |

  18. The maximum value of (3cosx+4sinx) (3sinx-4cosx) for every x in R is

    Text Solution

    |

  19. There are three units circles each of which is tangential to the other...

    Text Solution

    |

  20. If x and y are positive real numbers such that x^3+8y^3+24xy=64 , then...

    Text Solution

    |