Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minQB

MathematicsMediumsingle choice

The range of $x^{2} + 4 y^{2} + 9 z^{2} - 6 yz - 3 x z - 2 x y$ is

Answer:

Solution:

$x^{2} + 4 y^{2} + 9 z^{2} - 6 yz - 3 x z - 2 x y$

$= (x)^{2} + (2 y)^{2} + (3 z)^{2} - (2 y) (3 z) - (x) (3 z) - (x) (2 y) \geq 0$

∴ Range = [0, \infty) .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

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