JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

x,y,z

are positive real numbers such that

{x^2} + {y^2} + {z^2} = 27,

then

{x^3} + {y^3} + {z^3}

has

View answer and explanation

Correct option: A

Minimum value 81

Option A (Minimum value 81) is correct because the minimum value of

{x^3} + {y^3} + {z^3}

is found using the power mean inequality given

{x^2} + {y^2} + {z^2} = 27

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