Home
Class 12
MATHS
Let x,y,z are positive reals and x +y+z=...

Let `x,y,z` are positive reals and `x +y+z=60 and x gt 3.`
Maximum value of xyz is :

A

`8xx10^(3)`

B

`27xx10^(3)`

C

`64xx10^(3)`

D

`125xx10^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|19 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|43 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value of (x-3) (y+1) (z+5) is : (a) (17) (21) (25) (b) (20) (21) (23) (c) (21) (21)(21) (d) (23)(19) (15)

Given that x,y,z are positive reals such that xyz=32 . The minimum value of x^2+4xy+4y^2+2z^2 is ___________.

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

If x ,y and z are posirive real umbers and x=(12-y z)/(y+z) . The maximum value of x y z equals.

Given that x,y,z are positive real numbers such that xyz=32 , the minimum value of sqrt((x+2y)^(2)+2z^(2)-15) is equal to

If x,y,z are positive real number, such that x+y+z=1 , if the minimum value of (1+1/x)(1+1/y)(1+1/z) is K^(2) , then |K| is ……….

If x, y, z are positive real numbers such that x+y+z=a, then

Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y^4z^5 = (0.1)(600)^3 . Then x^3+y^3+z^3 is

If x , y, z are positive reals satisfying 4xy + 6yz + 8 zx = 9 , then the greatest possible value of the product xyz is

If (z^(x ^(2 ) +y ^(2)))/(z ^(-2xy ))= (z ^(3)), x and y are positive integers, and x gt y, what is the value of x -y ?

VK JAISWAL ENGLISH-SEQUENCE AND SERIES -EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. The first four terms of a sequence are given by T(1)=0, T(2)=1, T(3) =...

    Text Solution

    |

  2. The first four terms of a sequence are given by T(1)=0, T(2)=1, T(3) =...

    Text Solution

    |

  3. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  4. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  5. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

    Text Solution

    |

  6. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

    Text Solution

    |

  7. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

    Text Solution

    |

  8. Two consecutive numbers from 1,2,3 …., n are removed.The arithmetic me...

    Text Solution

    |

  9. Two consecutive numbers from 1,2,3 …., n are removed.The arithmetic me...

    Text Solution

    |

  10. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

    Text Solution

    |

  11. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  12. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  13. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  14. Let f (n) = sum (r =2)^(n) (r )/(""^r C(2) ""^(r+1) C(2)) , a = lim (x...

    Text Solution

    |

  15. Let f (n) = sum (r =2)^(n) (r )/(""^r C(2) ""^(r+1) C(2)) , a = lim (x...

    Text Solution

    |

  16. Given that sequence of number a (1), a (2) , a(3),……, a (1005) which s...

    Text Solution

    |

  17. Given that sequence of number a (1), a (2) , a(3),……, a (1005) which s...

    Text Solution

    |