Home
Class 12
MATHS
If x,y,z be three positive numbers such ...

If `x,y,z` be three positive numbers such that `xyz^(2)` has the greatest value `(1)/(64)`, then the value of `(1)/(x)+(1)/(y)+(1)/(z)` is

A

`a=b=(1)/(2),c=(1)/(4)`

B

`a=b=c=(1)/(3)`

C

`a=b=(1)/(4),c=(1)/(2)`

D

`a=b=c=(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If x+y+z=1 , then the least value of (1)/(x)+(1)/(y)+(1)/(z) , is

If x, y, z are distinct positive numbers such that x+(1)/(y)=y+(1)/(z)=z+(1)/(x) , then the value of xyz is __________

If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

If x, y, z are non-negative real numbers satisfying x+y+z=1 , then the minimum value of ((1)/(x)+1)((1)/(y)+1)((1)/(z)+1) , is

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 show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1

If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(y^(-1)z)dotsqrt(z^(-1)x)=1

If xyz=(1-x)(1-y)(1-z) Where 0<=x,y, z<=1 , then the minimum value of x(1-z)+y (1-x)+ z(1-y) is